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Journal of mathematical and computational science
Number of Followers: 2 Open Access journal ISSN (Print) 1927-5307 Published by Science and Knowledge Publishing Corporation Limited [5 journals] |
- Simple of near left almost rings
Authors: Thiti Gaketem
Abstract: In this pager, we define simple of nLA-rings. Finally we will study properties of simple of nLA-rings and some properties of ideal of nLA-rings.
PubDate: 2022-07-19
Issue No: Vol. 12 (2022)
- A fuzzy inventory model having leakage along with shortage
Authors: Huidrom Malemnganbi, M. Kuber Singh
Abstract: In this paper, a crisp leakage inventory model is extended to fuzzy environment. Leakage is an unavoidable phenomenon in an inventory system involving liquid or gaseous stock. The rate of leakage and the rate of demand cannot be considered as a fixed quantity through out the functioning of the system. Fuzzy set theory is applied to deal these variabilities and uncertainties of the situation. Triangular fuzzy number is considered for the process of fuzzification. The concept of α-cut and fuzzy intervals is used for the signed distance method of defuzzification. Numerical example is provided to support the result of the proposed fuzzy model.
PubDate: 2022-07-19
Issue No: Vol. 12 (2022)
- Ciric and almost contractions in convex generalized b-metric spaces
Authors: Anshuka Kadyan, Kajal Sachdeva, Anil Kumar Taneja
Abstract: This manuscript intends to extend the work for Ciric contraction and almost contraction, condition (B), in the context of convex generalized b-metric spaces. We demonstrate the existence of a fixed point using Mann’s iteration and prove its uniqueness.
PubDate: 2022-07-11
Issue No: Vol. 12 (2022)
- Soft Ds∗-metric spaces and a fixed point theorem of soft continuous
mappings on soft Ds*-metric spaces
Authors: M. S. Jeena, Lovelymol Sebastian
Abstract: The extent of soft Ds∗-metric space is mostly explained in this study. We define the soft Ds∗-metric space and provide fundamental definitions. We have included examples to support the definition. For the situation of soft Ds∗-metric space, we also introduced soft ∆s∗-distance. We also prove the fixed point theorem for soft continuous mappings on soft Ds∗-metric space.
PubDate: 2022-07-08
Issue No: Vol. 12 (2022)
- Solving 4D transportation problem using the particle swarm optimization
algorithm
Authors: Zainab Alaa Hameed, Taicir Loukil Moalla
Abstract: This research deals with the problem of four-dimensional transportation in the General Company for Food Stuff Trading because of its great role in managing the transportation process. The transportation problem of the four-dimensional of the different demand centers, the different supply centers, the distribution line, and the various means of transportation was solved using the particle swarm optimization algorithm using the coding formula via the MATLAB program. The goal of choosing a particle swarm optimization algorithm is computationally inexpensive, in addition, it is an effective method for many optimization problems and to find the best solution among a huge number of possible solutions.
PubDate: 2022-07-04
Issue No: Vol. 12 (2022)
- Framelet scaling set with matrix dilation in L2(R2)
Authors: G. C. S. Yadav, Arun Kumar
Abstract: In this paper, we have constructed the non-overlapping frame scaling set with 2×2 expansive matrix dilation for the time frequency analysis in R2. The FMRA (Frame Multiresolution Analysis) always contains a frame scaling set. We have investigated that frequency domain of any frame scaling function contains a nonoverlapping scaling set.
PubDate: 2022-07-04
Issue No: Vol. 12 (2022)
- Group mean cordial labeling of some path and cycle related graphs
Authors: R.N. Rajalekshmi, R. Kala
Abstract: Let G be a (p,q) graph and let A be a group. Let f: V(G)->A be a map. For each edge uv assign the label [o(f(u))+o(f(v))/2]. Here o(f(u)) denotes the order of f(u) as an element of the group A. Let I be the set of all integers that are labels of the edges of G. f is called a group mean cordial labeling if the following conditions hold: (1) For x,y∈A, vf(x)−vf(y) ≤1, where vf(x) is the number of vertices labeled with x. (2) For i,j∈I, ef(i)−ef(j) ≤1, where ef(i) denote the number of edges labeled with i. A graph with a group mean cordial labeling is called a group mean cordial graph. In this paper, we take A as the group of fourth roots of unity and prove that, the graphs Ladder, Slanting Ladder, Triangular Ladder, Fan, Flower and Sunflower are group mean cordial graphs.
PubDate: 2022-07-04
Issue No: Vol. 12 (2022)
- Stability analysis of vector-borne diseases model with treatment via
fractional-order
Authors: R. Ramya, K. Krishnan
Abstract: In this article vector borne disease transmission model with treatment is analyzed via fractional-order. We analyzed, the global stability of equilibria of the proposed model under certain parametric conditions. A numerical simulations of this model is also conducted to investigate the effect of certain major parameters on the disease spread.
PubDate: 2022-07-04
Issue No: Vol. 12 (2022)
- A note on hemi-slant submanifolds of para Sasakian manifolds
Authors: Punit Kumar Singh, Satyendra Pratap Singh, Virendra Nath Pathak
Abstract: In this paper, we study hemi-slant submanifolds as a generalization of slant submanifolds of para contact manifolds. We particularly work out on hemi-slant submanifolds of para Sasakian manifold. Further, we obtain necessary and sufficient conditions for integrability of distributions which are involved in the definition of hemi-slant submanifolds of para Sasakian manifolds. Finally, we obtain the necessary and sufficient condition for a hemi-slant submanifold to be hemi-slant product and also provide some examples of such submanifolds.
PubDate: 2022-06-27
Issue No: Vol. 12 (2022)
- Some application of ideals of nLA-rings
Authors: Thiti Gaketem
Abstract: In this paper we define c-prime, 3-prime, equiprime and weakly prime ideal of nLA-ring which we will study relation of c-prime, 3-prime, weakly prime ideal and prime ideal.
PubDate: 2022-06-27
Issue No: Vol. 12 (2022)
- Characterizations of Frenet curves in Galilean 3-space
Authors: M. Elzawy, S. Mosa
Abstract: The aim of this paper is to prove that the distance function of every Frenet curve in G3 satisfies a 4-th order differential equation. Also, we show that if α is a unit speed Frenet curve in G3, then <α(s),T(s)>=s+c if and only if α is a rectifying curve. Finally, we obtain some characterizations of spherical curves and helices via the 4-th order differential equation (4).
PubDate: 2022-06-27
Issue No: Vol. 12 (2022)
- On square sum difference coloring of graphs
Authors: Preethi K. Pillai, J. Suresh Kumar
Abstract: Let G be a graph with p vertices. A bijection f: V(G)→{0.1,2,..., p − 1} is called a Square Sum Difference (SSD) coloring of G if the induced function. f∗: E(G)→N defined by f∗(uv)=[f(u)]2+[f(v)]2−f(u)f(v) is injective for all edges uv∈E(G), A graph G is called an SSD colorable if G admits an SSD coloring. Further, an SSD coloring is called an odd square sum difference (OSSD) coloring, if f∗(E) contains only odd integers. A graph G is called an OSSD colorable, if G admits an OSSD coloring.
PubDate: 2022-06-27
Issue No: Vol. 12 (2022)
- Common fixed point theorems for three self-maps under different
contraction principles in Mvb-complete metric space
Authors: Thakur Durga Bai, M. Rangamma
Abstract: In this paper, it is shown that in Mvb complete metric space, coincidence points exist and a unique common fixed point is established for three self-maps under Banach, Kannan Reich, and modified Hardy-Rogers type contraction principles, which is further applied to solve two problems.
PubDate: 2022-06-20
Issue No: Vol. 12 (2022)
- Analysis classification of households who received "raskin" in Semarang
City using Fuzzy K-Nearest Neighbor (FKNN) and Support Vector Machine
(SVM)
Authors: Dwi Ispriyanti, Alan Prahutama, Mustafid -, Sugito -, Retno Dian Ika Wati
Abstract: Data mining or Big Data is a very important part of going to the industrial revolution era 4. Data mining is inseparable from statistical analysis for classification methods. Data mining is data with a very large size. Two of the methods in data mining is classification using Fuzzy K Nearest Neighbor (FKNN) and Support Vector Machine (SVM). The concept of FKNN is based on fuzzy members, while the SVM method is based on a hyperplane. In this study, the classification of poor rice receipt in the city of Semarang used the FKNN and SVM methods. These methods applied to classification the household wom receipt “raskin” in Semarang city, Indonesia. “raskin” is one of Indonesia government program to assist the households who categorized in the poor households. We used some variables independent such as the characteristic of house and the criteria of head households. The data collected from SUSENAS-social economic survey 2016 in Semarang city with 930 households. From the results of the analysis, it was found that the characteristics of residential houses more influenced the factors of “raskin” revenue compared to the characteristics of the head of the household. The SVM method produces better accuracy than FKNN. The best accuracy value reaches 90% with the radial base function kernel function.
PubDate: 2022-06-20
Issue No: Vol. 12 (2022)
- On a subclass of analytic functions involving Hurwitz-Lerch zeta function
Authors: K. Sridevi, T. Swaroopa Rani
Abstract: In this work, we introduce and investigate a new class of analytic functions in the open unit disc U with negative coefficients. The object of the present paper is to determine coefficient estimates, neighborhoods and partial sums for functions f belonging to this class.
PubDate: 2022-06-20
Issue No: Vol. 12 (2022)
- An optimal control on the dynamics of wildebeest, zebra and lion prey
predator interactions in Serengeti ecosystem
Authors: Raymond Charles, Oluwole Daniel Makinde, Monica Kung'aro
Abstract: In this paper we present an application of optimal control theory to assess the effectiveness of control measures of the dynamics of wildebeest, zebra and lion prey-predator system of Serengeti ecosystem. This is done by proposing control variables such as education (for retaliatory killing), construction of dams (for drought) and treatment (for infections). The main goal is to maximize the population density. For this aim, the Pontryagin’s maximum principle has been applied. The optimal control is characterized in terms of optimality system and solved numerically for several scenarios. Results shows that multiple optimal control measures is the most effective strategy in management of wildlife populations.
PubDate: 2022-06-20
Issue No: Vol. 12 (2022)
- Local and global stability analysis of a COVID-19 model dynamics with
healthy diet as control
Authors: Uchenna E. Michael, Louis O. Omenyi, Kafayat O. Elebute, Akachukwu A. Offia
Abstract: We construct and analyse a nonlinear deterministic mathematical model for the transmission dynamics of COVID-19 with healthy diet as a control. The effective reproduction number, Re, of the model is computed and its sensitivity analysis done. Our results are the proof of existence of forward bifurcation using center manifold theory and stability of the equilibrium points. Model fitting was done with data published by Nigeria Centre for Disease Control (NCDC) on COVID-19 and we estimated the model parameters by least square. Our simulation and analysis results show asymptotic stability. Thus, a consistent intake of healthy diet boost the immune system which help in wading-off COVID-19 when an individual is exposed.
PubDate: 2022-06-20
Issue No: Vol. 12 (2022)
- Existence of solution to fractional hybrid differential equations using
topological degree theory
Authors: Taghareed A. Faree, Satish K. Panchal
Abstract: This paper attempts to examine the existence and uniqueness of solution for the fractional Hybrid differential equations. It is based on applying topological degree techniques for certain reasonable conditions in Banach space. An example of this can be confirmed in the results.
PubDate: 2022-06-13
Issue No: Vol. 12 (2022)
- Concept similarity in formal concept analysis
Authors: Anna Formica
Abstract: The identification of syntactically different concepts that are semantically similar, also referred to as Similarity Reasoning, is fundamental in several research areas such as Artificial Intelligence, Software Engineering, Cognitive Science and, in particular, in Semantic Web. Formal Concept Analysis (FCA) is a mathematical framework which is revealing very interesting in supporting fundamental activities for the development of Semantic Web. In order to model uncertainty information, FCA with many-valued contexts is addressed and, in particular, FCA with Ordinal scaling (OFCA), and FCA with Interordinal scaling (IFCA). Concept similarity in IFCA, i.e., in many-valued contexts where attribute values are intervals, is a problem that has been marginally investigated, although the increasing interest in the literature in this topic.
PubDate: 2022-06-13
Issue No: Vol. 12 (2022)
- 2-Inner product on fuzzy linear spaces over fuzzy fields
Authors: Yogesh Chandra, Manjari Srivastava, Parijat Sinha
Abstract: In this paper we have studied the concept of 2-inner product on fuzzy linear space over fuzzy field. We have also discussed some fundamental properties of 2-inner product and have given relationship between 2-norm and 2-inner product function.
PubDate: 2022-06-06
Issue No: Vol. 12 (2022)
- Existence results for quasilinear parabolic systems with nonlocal boundary
conditions
Authors: Matallah Hana, Maouni Messaoud, Lakhal Hakim
Abstract: This paper propose new approaches to the investigation of the work studing the Quasilinear Parabolic Equations With Nonlocal Boundary Conditions , this study is a generalization of there results, where we prove the existence of a generalized solution for a class of quasilinear equations with nonlocal boundary conditions By using Feado-Galerkin approximation.
PubDate: 2022-06-06
Issue No: Vol. 12 (2022)
- Common fixed point theorem for four self maps using an integral type
contractive condition in a S-metric space
Authors: A. Srinivas, V. Kiran
Abstract: In this paper, by employing a contractive condition of integral type, we obtain a unique common fixed point for four weakly compatible self maps of a S-metric space which satisfy common limit range property.
PubDate: 2022-06-06
Issue No: Vol. 12 (2022)
- On the divisor graph of finite commutative ring
Authors: P. D. Khandare, S. M. Jogdand, R. A. Muneshwar
Abstract: In this paper, we introduce a graphical structure of non empty finite commutative ring R called as divisor graph of R, denoted as D[R], is undirected simple graph with vertex set V=R−{0,1} and for distinct vertices a,b∈V, a∼b if and only if either a b or b a, i.e. ∃c∈R such that a=bc or b=ac. We will discuss structure and properties of divisor graph of ring Zn. Moreover, we also determine diameter, girth, eulerian, planar, clique number of the D[Zn], ∀n. The main objective of this paper is to study interplay of ring theoretic properties of R with graph theoretic properties of D[Zn].
PubDate: 2022-06-06
Issue No: Vol. 12 (2022)
- Systematic testing of explicit positivity preserving algorithms for the
heat-equation
Authors: Issa Omle, Ali Habeeb Askar, Endre Kovács
Abstract: In this work, we performed systematic tests of recently invented stable and explicit algorithms which preserve the positivity of the solution for the linear heat equation. It is well known that the widely used explicit finite difference schemes are typically unstable if the time step size is below the so called CFL limit, and even if they are stable, they can produce negative temperatures. However, the numerical solutions should satisfy the same properties as the exact solution, such as positivity. Thus, we collected the available explicit positivity preserving methods, most of them created by us recently to examine their performance and relative competitiveness. We tested them in the case of several 2D systems to find how the errors depend on the stiffness ratio and the CFL limit of the system for each algorithm. Then we created an anisotropic but equidistant grid by shrinking the vertical dimension of the 2D system and examined how this kind of anisotropy effects the errors.
PubDate: 2022-05-31
Issue No: Vol. 12 (2022)
- Representation of rhotrix type A semigroups
Authors: U. R. Ndubuisi, C. C. Ugochukwu, M. C. Obi, O.G. Udoaka, K.P. Shum
Abstract: This paper considers representation of rhotrix type A semigroups in terms of right ω-cosets of its closed rhotrix type A subsemigroup, which is a more general form of representation of rhotrix type A semigroup than the one given recently by Ndubuisi et al in [12].
PubDate: 2022-05-31
Issue No: Vol. 12 (2022)
- Geographically and temporally weighted regression modeling in statistical
downscaling modeling for the estimation of monthly rainfall
Authors: Aan Kardiana, Aji Hamim Wigena, Anik Djuraidah, Agus Mohamad Soleh
Abstract: Rainfall estimation was carried out using various Statistical Downscaling (SD) models namely Projection Pursuit, Quantile Regression, Multiple Linear Regression, Partial Least Squares Regression, Clustered Linear Regression and Two-Stage Modeling, and Clusterwise Regression. Global regression cannot handle the relationship between response variables and predictor variables in data containing spatial and temporal variability. The Geographically and Temporally Weighted Regression (GTWR) model can be used to overcome this. This study will perform SD modeling for the estimation of monthly rainfall using the Weighted Least Squares method. The response variables are monthly rainfall data from 35 stations in West Java Province from January 1983 to December 2012 and the predictor variables are temperature and monthly precipitation from the General Circulation Model from the National Centers for Environmental Prediction in the form of a Climate Forecast System Reanalysis model. The results of the study show that the GTWR method, which employs the Exponential kernel function and a fixed bandwidth to model monthly rainfall, outperforms the variable selection method, by giving the value of R2 = 70.62% and the Root Mean Square Error (RMSE) = 84.25 while the variable selection method gives the value of R2 = 31.21% and RMSE = 128.91. The combination of the GTWR method and Spline interpolation method is the best method for estimating the monthly rainfall value in an unobserved location.
PubDate: 2022-05-31
Issue No: Vol. 12 (2022)
- Common fixed point results using an integral type contractive condition on
S-metric spaces
Authors: V. Sambasiva Rao, Uma Dixit
Abstract: In this article, we adopt an integral type contraction to find fixed point results for four self mappings, which are weakly compatible in S-metric spaces. For this purpose, we use (E.A)/(CLR)-property alternatively. We provide befitting examples to justify our results.
PubDate: 2022-05-31
Issue No: Vol. 12 (2022)
- Modelling the prevalence of malnutrition toddlers using Bayesian
semiparametric regression
Authors: Rosa Rosmanah, Yudhie Andriyana, Anindya Apriliyanti Pravitasari
Abstract: The malnutrition toddler is caused by low consumption of energy and protein and other socio-economic variables. The units of analysis in this study are all provinces in Indonesia. This study uses five explanatory variables which are indicated to have an effect on increasing or decreasing the weight of toddlers. Based on the preliminary exploration of data, the Bayesian Semiparametric model was considered. The results showed that complete basic immunization and education variables had a negative effect on the malnutrition. Therefore, the more toddlers who received complete basic immunization and the more educated the population in an area, the incidence of malnutrition could be reduced. The results of this study also found that birth weight and exclusive breastfeeding had no effect on malnutrition. This can happen because malnutrition can be prevented by improving the nutrition of toddlers even though, at birth, they have low body weight, and vice versa, malnutrition can occur in toddlers even though they are exclusively breastfed when they are under six months old. The variable of poverty has a positive effect on increasing the malnutrition.
PubDate: 2022-05-26
Issue No: Vol. 12 (2022)
- Common fixed-point theorem in triangular intuitionistic fuzzy metric
spaces
Authors: Shruti Ektare, Amit Kumar Pandey
Abstract: The goal of this paper is to prove a new general common fixed-point theorem for two pairs of mappings under different conditions, based on the idea of weakly compatible mappings satisfying a general class of contractions defined by an implicit relation in the framework of triangular intuitionistic fuzzy metric space, which unifies, extends, and generalises most of the existing relevant common fixed-point theorems in the literature. There are also some related results and an illustrated case to demonstrate the realised improvements.
PubDate: 2022-05-26
Issue No: Vol. 12 (2022)
- Characterize weakly regular semigroups by using interval valued Q-fuzzy
ideals with thresholds (α,β)
Authors: Unchitiha Netsuwan, Thiti Gaketem
Abstract: In this paper, we characterize of weakly regular semigroups by using the properties of these interval-valued Q-fuzzy subsemigroups with thresholds (α,β) of semigroups.
PubDate: 2022-05-26
Issue No: Vol. 12 (2022)
- Simulating models for the transmission dynamics of a novel corona virus
under the administration of an imperfect vaccine in Nigeria
Authors: Emeke O. Aghanenu, John N. Igabari, Richard Jenije, Festus I. Arunaye
Abstract: The spread of corona virus disease (COVID-19) to over 210 countries has resulted in a pandemic which has continued to generate severe public health concern and socio-economic burden worldwide. This study investigated the impact of some control strategies (face mask usage, social distancing and contact tracing) on the dynamics of Corona virus in the Nigerian population. A mathematical model was developed and analyzed to also examine the impact of an imperfect vaccine on the transmission dynamics of COVID-19 disease. The model was shown to be both locally and globally asymptotically stable. The model was extended to explore a relationship between vaccination rate and transmission dynamics of the disease. Numerical simulations suggest that an implementation of an effective face mask strategy as well as social distancing will greatly control community transmission. Also, widespread random testing could help in detecting, tracing and isolating symptomatic and asymptomatic cases, thereby reducing the transmission by contacts. More testing would imply an increase in the number of detected cases as well as prompt isolation of symptomatic and asymptomatic cases, thereby reducing community transmission. Furthermore, a simulation was done to measure the population impact level when an imperfect vaccine is administered. The simulation showed that corona virus burden in terms of the cumulative number of deaths, decreases with an increasing vaccine rate, and that, if the vaccine efficacy confers 70% protection and a large proportion of the susceptible class is vaccinated, then, it would have led to the elimination of the disease within a short period of time. However, if the vaccine efficacy level confers 10% to 40% protection against the disease, then it is not sufficient to curtail the disease in the near future.
PubDate: 2022-05-20
Issue No: Vol. 12 (2022)
- Common fixed point theorems in complex valued Sb metric spaces
Authors: Rajesh Pandya, Aklesh Pariya, Antima Sindersiya, Sandeep Kumar Tiwari
Abstract: The aim of this paper is to present some common fixed point results for four mappings satisfying generalized contractive condition in a complex valued Sb-metric space using weak compatibility. Our result generalizes, extends and improve existing results of Priyobarta, Rohen and Mlaiki [9] and several researchers (see 1, 2, 3, 5, 6, 7, 8, 9, 10, 11, 12, 14, 15 and references their mentioned in) in context of b-metric, Sb metric space, complex valued metric space, complex valued b-metric space, complex valued S-metric space to complex valued Sb-metric spaces.
PubDate: 2022-05-20
Issue No: Vol. 12 (2022)
- Existence and extremal solutions in Banach algebras for a fractional order
differential equation
Authors: S. P. Shinde, B. D. Karande
Abstract: The existence of a solution in Banach algebras for a fractional order nonlinear quadratic differential equation with initial value condition is investigated in this paper. Furthermore, we demonstrate that the solutions to this equation are appealing locally. The primary conclusion is established using basic hybrid fixed point theory methods for three operators. Under certain monotonicity criteria, existence theorems for extremal solutions can also be established. Finally, we provide a specific example to demonstrate our findings.
PubDate: 2022-05-20
Issue No: Vol. 12 (2022)
- A hybrid deep learning network for non-linear time series prediction
Authors: Sameer Poongadan, M.C. Lineesh
Abstract: Non-linear time series prediction is highly significant because most of the practical situations deals with time series which are non-linear in nature. This study suggests a new time series prediction CEEMDAN-SVDLSTM model amalgamating Complete Ensemble EMD with Adaptive Noise, Singular Value Decomposition and Long Short Term Memory network. Non-linear and non-stationary data can be analysed by deploying the above model. CEEMDAN stage, SVD stage and LSTM stage are the main parts of the model. The break down of the data into some IMF components plus a residue is carried out by CEEMDAN in the first stage. Each IMF component and residue so obtained is de-noised by SVD in the second stage. Third stage deployed LSTM to predict all the de-noised IMF components. The foretold values of the actual data is then obtained by adding all the predicted IMF components and residue. We compared the model with other models such as LSTM model, EMD-LSTM model, EEMD-LSTM model, CEEMDAN-LSTM model and EEMD-SVD-LSTM model. The results show that the suggested CEEMDAN-SVD-LSTM model works better than other models in terms of efficiency in predicting future values.
PubDate: 2022-05-20
Issue No: Vol. 12 (2022)
- Modeling prevalence of stunting in relation to human development index in
Indonesia
Authors: I.G.N.M. Jaya, F. Kristiani, A. Chadidjah
Abstract: The prevalence of stunting is a crucial indicator of the human development index. Human development in Indonesia can be improved by effectively allocating resources to implement health policies that directly impact the prevalence of stunting in children under five. Using Bayesian spatial regression, we examine the effects of the prevalence of stunting and other unobserved factors on the spatial variation of stunting in Indonesia's 34 provinces. We discovered that stunting's prevalence has a statistically significant effect on human development. There is also a strong spatial effect here, which accounts for unobservable factors such as socioeconomic level. Continuous efforts to reduce stunting in all of Indonesia's provinces will benefit the human development index.
PubDate: 2022-05-09
Issue No: Vol. 12 (2022)
- On one-sidedly graph cliquish functions
Authors: Piyali Mallick
Abstract: In the present paper we introduce a new notion of one-sidedly (right, left) graph cliquish functions from the real line to a metric space and study its relation with other types of generalized continuity. We also deal with some properties relating to that new notion of generalized continuity.
PubDate: 2022-05-09
Issue No: Vol. 12 (2022)
- Fixed point theorem for six self mappings involving cubic terms of
M(x,y,t) in fuzzy metric space
Authors: Sonu -, Balbir Singh
Abstract: In this study, we first describe the generalized ψ-weak contraction condition, which involves cubic and quadratic terms of M(x,y,t), and then show common fixed-point theorems using weakly compatible for six self-mappings in fuzzy metric space.
PubDate: 2022-05-09
Issue No: Vol. 12 (2022)
- Fixed points of rational F-contractions in S-metric spaces
Authors: Tonjam Thaibema, Yumnam Rohen, Thounaojam Stephen, Oinam Budhichandra Singh
Abstract: The concept of F-contraction generalizes Banach contraction theorem. In this paper, we introduce a generalized F-contraction and used it to obtain fixed points in S-metric spaces.
PubDate: 2022-05-09
Issue No: Vol. 12 (2022)
- DD’s new formula of the dendrimer’s tree using the
vertices’ pairs number
Authors: Essalih Mohamed
Abstract: The topological indices are widely used for describing the chemical structure of molecules, the chemical reaction networks, the World Wide Web, financial markets, ecosystems, social networks, establishing relationships between structure and properties of molecules, predicting biological activity of chemical compounds, and making other chemical applications. In [2] a new formula to calculate the degree distance index using the dGu(k) is proved. In is paper we are going to calculate the degree distance index of the Dendrimer’s tree via dGu(k) (vertices’ pairs number of G that are at distance k from u).
PubDate: 2022-05-09
Issue No: Vol. 12 (2022)
- Characterization of intra-regular semigroups in terms of interval valued
Q-fuzzy subsemigroups with thresholds (α,β)
Authors: Jukkrid Suwannarat, Thiti Gaketem
Abstract: In this paper, we characterize of intra-regular semigroups by using the properties of these interval-valued Q-fuzzy subsemigroups with thresholds (α,β) of semigroups.
PubDate: 2022-05-02
Issue No: Vol. 12 (2022)
- D-local antimagic vertex coloring of a graph and some graph operations
Authors: Preethi K. Pillai, J. Suresh Kumar
Abstract: Let G(V,E) be a simple, connected (p,q)-graph. A d-local antimagic labelling is a bijection f: E(G) → {1,2,3,4,...q} such that for any two adjacent vertices, v1 and v2, w(v1) ≠w(v2) where w(vi) = ∑e∈E(vi) f(e) − deg(vi),and E(vi) is the set of edges incident to vi for i = 1,2,..., p. Any d-local antimagic labelling induces a proper vertex coloring of G where the vertex, vi is assigned the color w(vi) for i = 1,2,... p and this coloring is called d-local antimagic coloring of G. The minimum number of colors required to color the vertices in a d-local antimagic coloring of G is called the d-local antimagic chromatic number of G and it is denoted as χdla(G). In this paper, we study the d-local antimagic vertex coloring of paths, cycles, star graphs, complete bipartite graphs and some graph operations such as the subdivision of each edge of a graph by a vertex and determine the exact value of the parameter, d-local antimagic chromatic number for these graphs.
PubDate: 2022-05-02
Issue No: Vol. 12 (2022)
- On CNZ ring property via idempotent elements
Authors: Iman Jalal Ali, Chenar Abdul Kareem Ahmed
Abstract: In this paper, the concept of e−CNZ rings is introduced as a generalization of symmetric rings and a particular case of e−reversible rings. Regarding the question of how idempotent elements affect CNZ property of rings. In this note, we show that e−CNZ is not left-right symmetric. We present examples of right e−CNZ rings that are not CNZ and basic properties of right e − CNZ are provided. Some subrings of matrix rings and some extensions of rings such as Jordan extension are investigated in terms of right e−CNZ.
PubDate: 2022-04-29
Issue No: Vol. 12 (2022)
- Crank-Nicolson approximation of fractional order for time fractional radon
diffusion equation in soil medium
Authors: G.W. Shrimangale, S.R. Raut
Abstract: The basic aim of this paper is to study the analysis for the Crank-Nicolson finite difference approximation for time fractional radon diffusion equation (TFRDE) in soil medium. The equation expresses the concentration of radon as function of space and time in soil medium. We discuss the stability and convergence of the scheme. Graphically the numerical solution of the test problem is carried out with the help of mathematical software Mathematica.
PubDate: 2022-04-29
Issue No: Vol. 12 (2022)
- Multivariate analysis of the breast cancer patients in North-East India:
Using cox regression
Authors: Swapan Bhattacharjee, Surobhi Deka
Abstract: Breast cancer is the most common cancer affecting women in India. Breast cancer can develop to any age groups of females and with the age the risk increases. The survival of breast cancer patients depends on early diagnosis, stages of the disease and treatment. Materials and Methods: In our study 462 breast cancer patients were included in study who were treated during 3 year period (January 2016 until December 2018) and were followed up to December 2019 at North East Cancer Hospital, Jorabat and State Cancer Hospital, Guwahati. Death reported was 75. The Kaplan-Meier was used for data analysis and in order to analyze the different covariates Cox Regression model is used. Results: Based on Kaplan- Meier mean survival days was 1132 and overall 3 year survival rate was 63%. The 3 year survival rate of stage III and stage IV was 60% and 20%. Conclusions: Our findings support the observation that those women with higher stages have less chance of survival. Moreover early detection of breast cancer may help to increase the survival rate of those women who are at risk.
PubDate: 2022-04-22
Issue No: Vol. 12 (2022)
- Composite refinement techniques for solving linear systems
Authors: Sh. A. Meligy, I. K. Youssef
Abstract: A composite refinement approach for stationary iterative methods is introduced. Two new formulas (RJGS and RGSJ) are compared with the classical forms. Rates of convergence of the introduced composite formulas (RJGS and RGSJ) are well established. The efficient performance of the new forms is established theoretically and confirmed through numerical examples. The decrease in the required number of iterations for convergence is established through the calculation of the spectral radius of the iteration matrices. The algorithmic structure of the new formulas is announced. Three numerical examples with different convergent properties are considered. The calculations are performed with the help of computer algebra software Mathematica.
PubDate: 2022-04-22
Issue No: Vol. 12 (2022)
- Circulation analysis and forecasting of fuel sales using the
backpropagation artificial neural network method
Authors: Nirwan Ilyas, Nurtiti Sunusi, Siswanto -, Anisa Kalondeng, Hedi Kuswanto
Abstract: The availability of a general fuel supply for the community is an interesting matter to study. This is because fuel is a basic need for the community. This paper aims to model and predict the general fuel demand and circulation using the Backpropagation Artificial Neural Network (ANN) method. A neural network consists of a set of numbers in simple processing elements called neurons, units, cells, or nodes. Each neuron is connected to the other neurons in a manner directed by communication links and by interrelated weights. Weights are represented as information that will be used by the network to solve a problem. In this study, secondary data is used on the volume of fossil fuel sold daily at the Hasanuddin gas station in Makassar from January 1, 2018 – March 29, 2021, with a lot of data 1121 days. The types of fossil fuels studied are Premium and Pertalite. The results obtained indicate that the best model obtained for the Pertalite ANN architecture with 4 inputs and 5 neurons in the hidden layer has the best accuracy with a MAPE of 17.64% which is classified as good, while the Pertalite ANN architecture with 7 inputs and 25 neurons in the hidden layer has accuracy. the best with a MAPE of 14.64% which is classified as good.
PubDate: 2022-04-18
Issue No: Vol. 12 (2022)
- Cubic interior ideal in Γ-semirings
Authors: Chananchida Intasao, Chawanya Manoworn, Thanyalak Makpan, Thiti Gaketem
Abstract: In this paper we introduce the notion cubic interior ideal in Γ-semiring and we study basic properties of cubic interior ideal.
PubDate: 2022-04-18
Issue No: Vol. 12 (2022)
- Optimal strategies to control the transmission dynamics of COVID'19
Authors: Riouali Maryam, Lahmidi Fouad, Elberrai Imane, Namir Abdelwahed, Melhaoui Yousra
Abstract: In this paper, we propose a model of transmission of a novel coronavirus (COVID’19) given by a system of non-linear differential equations. We apply optimal control theory to obtain optimal control strategies by minimizing the number of susceptible, exposed, and infected individuals. The existence and characterization of optimal controls are given using Pontryagin’s Maximum Principle. Numerical simulations are carried out to illustrate the different effects and to show the efficiency of the proposed approach.
PubDate: 2022-04-18
Issue No: Vol. 12 (2022)
- Food chain model with logistic growth and selective optimal harvesting
under fuzzy environment
Authors: Dipankar Sadhukhan
Abstract: A multispecies food chain harvesting model is formulated based on Lotka-Voltera model with three species which are affected not only by harvesting but also by the presence of prey, predator and the super predator. In order to understand the dynamics of the system, it is assumed that the all three species follows the logistic law of growth. Further, there is demand for prey predator species in the market and hence selective harvesting of two species is performed. We derive the condition for global stability of the system using a suitable Lyapunov function. The possibility of existence of bioeconomic equilibrium is discussed. The optimal harvest policy is studied and the solution is derived under imprecise inflation in fuzzy environment using Pontryagin’s maximal principle. Finally some numerical examples are discussed to illustrate the model.
PubDate: 2022-04-11
Issue No: Vol. 12 (2022)
- Properties of multi anti L-fuzzy quotient group A of a group G
Authors: M. Akilesh, R. Muthuraj
Abstract: In this Paper, the notion of multi anti L – fuzzy quotient group A of a group G determined by A and K is introduced and discussed its properties.
PubDate: 2022-04-11
Issue No: Vol. 12 (2022)
- Expression for primitive idempotents of length 8pn and corresponding codes
Authors: Jagbir Singh, Sonika Ahlawat, S.K. Arora
Abstract: The group algebra FG of the group G of order 8pn over the field F of prime power order q, where p is an odd prime n≥1, q is of the form 8k+1 and q is primitive root modulo pn, have 8(n+1) primitive idempotents. The explicit expressions for these idempotents are obtained. Generating polynomials, minimum distances and dimensions for the corresponding minimal cyclic codes are also obtained.
PubDate: 2022-04-11
Issue No: Vol. 12 (2022)
- Adomian decomposition method applied to continuous-time bilinear
stochastic processes with time-varying coefficients
Authors: Fateh Merahi
Abstract: In the present paper, we apply the Adomian decomposition method for bilinear stochastic processes with time-varying coefficients in both time and frequency domain. More precisely, we derived an analytical approximate solution and we prove its convergence to the exact solution in time domain, furthermore we give an analytical approximate solution in frequency domain, i.e, we derived analytical approximate transfer functions which converge to the exact transfer functions.
PubDate: 2022-04-11
Issue No: Vol. 12 (2022)
- The spatial econometrics of economic growth in Sumatera Utara province
Authors: Rosa Rosmanah, Vievien Abigail Damu Djara, Yudhie Andriyana, I. G. N. M. Jaya
Abstract: This study aims to analyze the economic growth of Sumatera Utara using an econometric spatial model. Euclidean distance and Moran’s I test were applied to determine the neighborhood and identify the autocorrelation. Based on the Lagrange Multiplier test, the spatial lag model (SAR) was considered. The R Shiny program, which was previously developed by the researcher, was used to estimate the model parameters. The SAR model's diagnostic checking shows that non-autocorrelation, normality, and homogeneity assumptions have been satisfied. Economic growth in the agricultural, forestry, and fishing sectors has a positive and significant effect on increasing economic growth in Sumatera Utara. A good strategy to increase the role of this sector could significantly improve the economy of Sumatera Utara. Coconut production has a positive and significant effect on increasing economic growth in Sumatera Utara. The unemployment rate has a negative and significant effect on the decreasing economic growth in Sumatera Utara. Reducing the unemployment rate could be one strategy to improve the economic growth of Sumatera Utara.
PubDate: 2022-04-04
Issue No: Vol. 12 (2022)
- The implementation of empirical best linear unbiased prediction-Fay
Herriot (EBLUP-FH) on the estimation of average per capita expenditure at
district level in West Sumatra Province in 2019
Authors: Armalia Desiyanti, Toni Toharudin, Yusep Suparman
Abstract: The problem of equitable distribution of welfare is still a sustainable development agenda that must be completed by all parties, including local governments. An indicator to describe the welfare of the population in an area is per capita income and per capita expenditure. The lack of data given by Statistics Indonesia has caused the government to not be optimal in policymaking and implementation because they require data presentation at a smaller regional level. This study aims to estimate per capita expenditure at the district level in West Sumatra Province in 2019 using the SAE EBLUP-FH method. Based on the results of the EBLUP-FH estimation, the distribution of per capita expenditure in West Sumatra Province is very varied among districts. Several districts that are geographically close to the provincial capital area tend to have a higher average per capita expenditure than other areas. Based on the comparison between the direct estimator and the EBLUP-FH estimator, it was found that the RRMSE value of the EBLUP-FH estimator was smaller than the direct estimator. It can be said that the EBLUP-FH method can provide more precise estimation results.
PubDate: 2022-04-04
Issue No: Vol. 12 (2022)
- Conformable fractional Lomax probability distribution
Authors: M. A. Amleh, Baha’ Abughazaleh, Ahmad Al-Natoor
Abstract: In this paper, we consider the conformable fractional Lomax distribution. The main functions associated to this new distribution are obtained, including conformable cumulative distribution function and hazard rate function. Further, we derive an exact expression of the ð‘Ÿð‘¡ℎ moment, the mean and the variance of such new distribution. The mode and the quantile function related to this distribution are also obtained. Some entropy measures, namely, Shannon entropy and Renyi entropy are derived. Moreover, we introduce the order statistics of a fractional random variable, the density of the ð‘˜ð‘¡ℎ order statistic and the joint density of the ð‘˜ð‘¡ℎ and ð‘šð‘¡ℎ order statistics for the new distribution are obtained.
PubDate: 2022-04-04
Issue No: Vol. 12 (2022)
- FRW cosmological models in presence of a perfect fluid within the
framework of Saez-Ballester theory in five dimensional space time
Authors: Jagat Daimary, Rajshekhar Roy Baruah
Abstract: In the framework of Saez-Ballester scalar-tensor theory of gravity, five-dimensional FRW space-time is considered in the presence of perfect fluid. We employed a power law between the scalar field and the universe's scale factor to get a definite solution to the field equations. Models that radiate flat, closed and open universe are shown. The model's physical features are also discussed.
PubDate: 2022-04-04
Issue No: Vol. 12 (2022)
- A generalization of GP-metric space and generalized Gb-metric space and
related fixed point results
Authors: Kapil Jain, Jatinderdeep Kaur, Satvinder Singh Bhatia
Abstract: In the present article, a generalization of GP-metric space and generalized Gb-metric space has been introduced. In newly defined space, we study some properties and introduce some interesting and new concepts. Also, we present some fixed point results for various contraction mappings. Some consequences of these results are deduced in generalized Gb-metric spaces. We furnish multiple examples in support of new concepts, main results, and consequences.
PubDate: 2022-04-04
Issue No: Vol. 12 (2022)
- Some rational contraction and applications of fixed point theorems to
F-metric space in differential equations
Authors: Mohammed M.A. Taleb, V.C. Borkar
Abstract: In this article, we present define generalized (αθ-ψ)-rational contraction in F-metric spaces and find a new fixed point results, and apply the results we obtained for study existence and uniqueness solution of nonlinear neutral differential equation with an unbounded delay.
PubDate: 2022-04-04
Issue No: Vol. 12 (2022)
- On balanced 3-edge product cordial graphs
Authors: Phaisatcha Inpoonjai
Abstract: A k-edge product cordial labelling is a variant of the well-known cordial labelling. In this paper, a balanced k-edge product cordial labelling is suggested and some sufficient conditions for balanced 3-edge product cordial graphs are proved. Moreover, a construction of graphs admitting a balanced 3-edge product cordial labelling is presented.
PubDate: 2022-04-04
Issue No: Vol. 12 (2022)
- The Aboodh reduced differential transform method for the Hirota-Satsuma
coupled KDV and MKDV equations
Authors: R.A. Oderinu, A.A. Oyewumi
Abstract: This paper presents the validity and efficiency of the coupled Aboodh and Reduced Differential Transform Methods (ABRDTM). This method has been used in solving the coupled mKdV and KdV equations involving two different types of initial conditions. The Reduced Differential Transform Method which is a modified form of differential transform method (DTM) and emanated from the Taylors expansion is incorporated into the scheme of the Aboodh transform method and calculated in an iterative procedure which converged quickly to a closed form solution. In this work, the examples illustrated showed that the scheme provides a series of function which converged to the analytical solutions of the system earlier mentioned.
PubDate: 2022-04-04
Issue No: Vol. 12 (2022)
- Optimal control and cost-effectiveness analysis for the dynamic modeling
of Lassa fever
Authors: Mayowa M. Ojo, Temitope O. Benson, Adenike R. Shittu, Emile Franc Doungmo Goufo
Abstract: In this work, we analyze the effective control of Lassa fever in a given population by formulating and analyzing a nonlinear optimal control problem. We extend an existing deterministic mathematical model to include four control variables namely educational campaign, condom usage, treatment care, and reduction of rodents. Using Pontryagin’s maximal principle, we established the necessary conditions for the existence of optimal control. We use the fourth-order Runge Kutta forward-backward sweep approach to simulate the optimality system in order to demonstrate the impact of various combinations of controls on the spread of Lassa fever. A cost-effectiveness study is carried out to inform the public about the best cost-effective technique among several control combinations. The results suggest that, of all the combinations considered in this study, the combination of preventative tactics through educational campaigns and rodent reduction in the environment is the most cost-effective.
PubDate: 2022-04-04
Issue No: Vol. 12 (2022)
- Modeling of crime rate in Indonesia during the COVID-19 pandemic from a
macroeconomic perspective: Using robust regression with S-estimator
Authors: Tilas Notapiri, Toni Toharudin, Yusep Suparman
Abstract: Indonesia is the 4th country in Southeast Asia with the highest crime index in 2020. Economic factors are often linked as the main motive for the crime. The purpose of this study is for modeling the crime rate in Indonesia during the Covid-19 pandemic from a macroeconomic perspective. Regression analysis is an analysis that is used to explain and model the relationship between variables. The existence of outliers is often a problem in regression analysis with OLS. To overcome the outlier problem, this research uses robust regression with S-estimation. The results show that was influenced by the unemployment rate, poverty rate, GRDP per capita, population density, and human development index.
PubDate: 2022-03-28
Issue No: Vol. 12 (2022)
- Factors associated with psychological impact of coronavirus disease 2019
(COVID-19) outbreak in Nigeria: Regression-based approach
Authors: Shakiru A. Alaka, Kayode Oshinubi, Ifeoluwa Fasakin, Olalekan J. Akintande
Abstract: Background and Purpose: There is growing evidence of mental health amongst Nigerians is currently neglected. A pilot study evaluating variables linked with mental health during pandemic was conducted to add to the expanding body of knowledge in this area and establish the framework for future research. Methods: Data were collected using an online self-administered questionnaire, a cross-sectional study of 1075 respondents. Mental health status was assessed using Generalized Anxiety Disorder – 2 (GAD-2) and Patient Health Questionnaire-2 (PHQ-2). Logistic regression was used to investigate the factors associated with mental health status. Results: Multivariate logistic regression analyses were performed to identify the main factors associated with mental health outcomes. Of the 1075 respondents, 678 (63.9%) had anxiety disorder (i.e., GAD ≥ 3) and 670 (62.3%) had depression (PHQ ≥ 3). The median age were 30 years, respectively. Multivariate logistic regression shows that sex (Standardize Beta = - 0.84, p < 0.01), degree (Standardize Beta = 0.45, p = 0.006), income level (Standardize Beta = 0.98, p < 0.01) and the region (Standardize Beta = 0.78, p < 0.01) are all significant predictors. Conclusions: This study provides supportive evidence for mental health education and psychological counselling services. Current household income, level of education, region and gender are the significant predictors of mental health status amongst Nigerians.
PubDate: 2022-03-28
Issue No: Vol. 12 (2022)
- Minimal decomposition theorems and minimal extension principle for picture
fuzzy sets
Authors: Mohammad Kamrul Hasan, Md. Yasin Ali, Abeda Sultana, Nirmal Kanti Mitra
Abstract: Picture fuzzy set theory was originally proposed as a mathematical tool to deal with uncertainty by taking yes, no, neutral memberships of an element of a universal set. It has been studied by a host of researchers theoretically and practically. But still now, the structural properties of picture fuzzy sets are not widely studied. In this article, we propose lower (ð›¼, ð›¾, ð›½)-cut and strong lower (ð›¼, ð›¾, ð›½)-cut of a picture fuzzy set and illustrate some of their properties. Three minimal decomposition theorems for picture fuzzy sets are introduced by lower (ð›¼, ð›¾, ð›½)-cut, strong lower (ð›¼, ð›¾, ð›½)-cut and level set of picture fuzzy sets with illustrations by a numerical example. Some properties of minimal extension principle are also described by using the lower (ð›¼, ð›¾, ð›½)-cut and the strong lower (ð›¼, ð›¾, ð›½)-cut of picture fuzzy sets. Finally, arithmetic operations for picture fuzzy sets are illustrated by using the minimal extension principle.
PubDate: 2022-03-28
Issue No: Vol. 12 (2022)
- Estimation of groundwater variations in an anisotropic leaky aquifer: A
ditch drain model
Authors: Chhaya K. Lande, Arundhati Warke
Abstract: This paper deals with the development of mathematical models for water table fluctuation in 2-D anisotropic aquifer. Time dependent recharge and withdrawal are taken into consideration. A Boussineq equation - nonlinear partial differential equation governs the flow. The PDE is solved using finite Fourier sine transforms and closed from expression are obtained. The sensitivity of the parameters is tested using hypothetical data. Effect of leaky nature of aquifer base on the water table has been analyzed.
PubDate: 2022-03-28
Issue No: Vol. 12 (2022)
- Autocorrelation testing on residual spatial logistic regression model with
Euclidean distance matrix approach
Authors: Devi Yanti, Toni Toharudin, Yusep Suparman
Abstract: The existence of spatial effects should not be ignored because it will reduce the goodness of the model. One type of regression analysis that is quite widely used is logistic regression analysis. Spatial logistic regression modelling incorporates spatial effects into the logistic regression model with the expectation that the residuals generated from the model are independent or there is no autocorrelation. The purpose of this study was to obtain the results of spatial autocorrelation testing using a spatial logistic regression model with a Euclidean matrix approach. The results of the study were applied to natural disaster mitigation data in Kupang Regency, Nusa Tenggara Timur Province in 2020, where the distribution of areas in Kupang Regency by village/urban village has spatial autocorrelation. Spatial autocorrelation testing was carried out with Moran's I test to determine the presence of spatial autocorrelation. In this study, a standardized Euclidean distance matrix approach was used to accommodate this spatial effect. The results of the autocorrelation test of the binary spatial logistic model with the Euclidean distance matrix approach were able to accommodate the spatial effect.
PubDate: 2022-03-28
Issue No: Vol. 12 (2022)
- On quasi-Cayley fuzzy graphs
Authors: Abdelghani Taouti, Seema Karkain, Waheed Ahmad Khan
Abstract: In this note, our aim is to initiate the notion of the Cayley fuzzy graphs on fuzzy quasi-subgroups. We discuss its basic properties along with few of its characterizations.
PubDate: 2022-03-28
Issue No: Vol. 12 (2022)
- Stability analysis of delayed SIR model with logistic growth and bilinear
incidence rate
Authors: R. Jayananthan, K. Krishnan
Abstract: We look at a system of delay differential equations for an SIR model with logistic and bilinear incidence rates in this study. The model demonstrates bifurcation, where a stable disease-free equilibrium (DFE) coexists with a stable endemic equilibrium, according to the research (EE). When the reproduction number determines the requirements for local equilibrium stability and Hopf bifurcation’s existence. In order to preserve the stability behaviour, we also performed a bifurcation analysis with an anticipated duration of delay. We used numerical simulations to demonstrate the theoretical results’ relevance and effectiveness.
PubDate: 2022-03-28
Issue No: Vol. 12 (2022)
- Cubic ideal in Γ-semirings
Authors: Supatsorm Kaewseethong, Thatsanok Ritrueankham, Thiti Gaketem
Abstract: In this paper we introduce the notion cubic ideal in Γ-semiring and we study basic properties of cubic ideal.
PubDate: 2022-03-28
Issue No: Vol. 12 (2022)
- Solution for projectile motion in two dimensions with nonlinear air
resistance using Laplace decomposition method
Authors: Omar Alomari, Emad K. Jaradat, Amer D. Aloqali, Wajd Habashneh, Omar K. Jaradat
Abstract: Laplace decomposition method (LDM) is utilized to obtain an approximate solution of two-dimensional projectile motion with linear air resistance as well as to derive a formalism to obtain the solutions for any order of nonlinearity in the air resistance. The projectile trajectory was obtained using LDM method in three cases: without air resistance, with linear air resistance, and with quadratic air resistance. The solutions were used to illustrate the effect of the order of non-linearity on the basic parameters related to the motion, like Ranges, time of flight, maximum high and some other parameters. The available literature does not provide an exact solution to this motion when higher nonlinearities are involved. Nevertheless, the results show that such method is effective and powerful in getting approximate solutions for problems involving nonlinear behavior.
PubDate: 2022-03-28
Issue No: Vol. 12 (2022)
- Sumudu-iteration transform method for fractional telegraph equations
Authors: S.A. Tarate, A.P. Bhadane, S.B. Gaikwad, K.A. Kshirsagar
Abstract: We suggested a suitable algorithm, the Sumudu-iterative transform method, in this research study (SITM). SITM illustrates space and time-fractional telegraph equations by combining the iterative approach and the Sumudu transform. Caputo sense derivatives were employed.
PubDate: 2022-03-28
Issue No: Vol. 12 (2022)
- Rational cohomology of classifying spaces and Hilali conjecture
Authors: Abdelhadi Zaim
Abstract: Let X be a simply connected space with finite-dimensional rational homotopy groups. Denote by Bau1(X) the classifying space of fibrations with fiber X and max π∗(X)=max {i; πi(X)≠0}. In this paper, we show that the dimensional rational cohomology and the Lusternik-Schnirelmann category of Bau1(X) are infinite if max π∗(X) is odd. Our results apply, in particular, when X is elliptic. As a consequence, we prove the Hilali conjecture for classifying space.
PubDate: 2022-03-21
Issue No: Vol. 12 (2022)
- Application of the discrete classical case to a 1−2 type relation
Authors: S. Mekhalfa, K. Ali Khelil, M. C. Bouras
Abstract: In this paper, we present a simple approach in order to build up recursively the connection coefficients between a sequence of polynomials {Qn}n≥0 and an orthogonal polynomials sequence {Pn}n≥0 when
Pn(x) = Qn(x) +rnQn−1(x), n≥0.
This yields the relation between the parameters of the corresponding recurrence relations. Some special cases are developed. More specifically, assuming that {Pn}n≥0 is a discrete classical orthogonal polynomials sequence.
PubDate: 2022-03-21
Issue No: Vol. 12 (2022)
- Compatible self maps of type (A) in a cone metric spaces
Authors: Ala'a Mazen Al-Msadeen
Abstract: In this paper the concept of compatibility for a pair of self maps in a cone metric space without assuming its normality was discussed, various types of compatibility, some definitions and theorems were studied. The purpose of this research is to obtain common fixed point theorems for compatible self maps of type (A), some results generalize some of the results in the literature.
PubDate: 2022-03-21
Issue No: Vol. 12 (2022)
- A mathematical simulation and optimal control of a VIH model with
different infectious level
Authors: Ayoub Sakkoum, Mustapha Lhous, El Mostafa Magri
Abstract: In this paper, we consider a mathematical model of propagation HIV disease. We propose a case with three different levels of infection. The model was analyzed using the stability theory of a nonlinear differential equation. We describe the equilibrium point of the model and the basic reproduction number. This equilibrium point is both locally and globally stable under certain conditions. A control problem is formulated, we use an optimal control strategies to reduce the number of deaths and to reduce the spread of HIV. Some results concerning the existence and the characterization of the optimal control will be given. The Pontryagin’s maximum principle is used to characterize the optimal control. We obtained an optimality system that we sought to solve numerically by an iterative discrete schema that converges following an appropriate test similar the one related to the forward-backward sweep method. Numerical simulations are given to illustrate the obtained results.
PubDate: 2022-03-21
Issue No: Vol. 12 (2022)
- Prediction of export and import in Indonesia using vector autoregressive
integrated (VARI)
Authors: Vievien Abigail D. Djara, Dhita Diana Dewi, Harifa Hananti, Nurul Qisthi, Rosa Rosmanah, Zulfi Hm, Toni Toharudin, Budi Nurani Ruchjana
Abstract: This study aims to analyze the VARI model on the data of Indonesia's exports and imports from January 2015 to March 2021. The data from September 2020 to March 2021 became the out sample to measure the success of the VARI model in predicting exports and imports, which is measured by the value of MAPE (mean absolute percentage error). The R shiny program was developed to estimate the model parameter. Based on the Granger test, there was a causal relationship between exports and imports, so that past information on the export value can be used to predict the import values, and vice versa. The results of the analysis of the VARI model showed that simultaneously exports and imports in the previous period have a significant effect on the export and import value in the period of t. Based on the diagnostic test, the residuals have met the white noise assumption, and based on the MAPE value, the prediction results of the export and import values from October 2020 to March 2021 yielded a good result.
PubDate: 2022-03-14
Issue No: Vol. 12 (2022)
- Modeling the age distribution of breast cancer patients of North-East
India
Authors: Swapan Bhattacharjee, Surobhi Deka
Abstract: In this study four types of probability models are used, in order to find the best fitted model, namely Exponential, Gamma, Lognormal and Weibull. Goodness of fit measures are compared for each distribution using R programming. It is found that Gamma distribution provides the best fitted model.
PubDate: 2022-03-14
Issue No: Vol. 12 (2022)
- Causal relationship between electricity consumption and economic growth in
Assam, India
Authors: Nibedita Mahanta, Ruma Talukdar
Abstract: The aim of this study is to find the causal relationship between electricity consumption (EC) and economic growth in terms of Gross State Domestic Product (GSDP) in Assam considering the time period 1980-81 to 2018-19 with the help of Granger Causality Test. The stationarity of the series are tested through the Augmented Dickey Fuller (ADF) and Phillips Perron (PP) tests and reveal that both the series become stationary in first order differences but the result of Johansen Cointegration test indicates no cointegration between them. Applying Granger Causality test, no causal relationship is observed in either direction between EC and GSDP during the considered time period in Assam implying that energy conservation policies may not harm the economic growth in Assam.
PubDate: 2022-03-14
Issue No: Vol. 12 (2022)
- Study of some properties of complement of open subset inclusion graph of a
topological space
Authors: Reeta Madan, Soni Pathak, R. A. Muneshwar, K. L. Bondar
Abstract: In the recent paper, authors introduced a graph topological structure, called as open subset inclusion graph ðš¥(ðœ) of a topological space (ð‘‹, ðœ) on a finite set ð‘‹ and discussed some important properties of this graph. In this paper, we discuss some properties of the graph ðš¥(ðœ)ð‘. It is shown that, if ðœ is a discrete topology defined on nonempty set ð‘‹ with ð‘‹ ≤ 3, then the graph ðš¥(ðœ)ð‘ is bipartite, and if ð‘‹ = 2, then the graph ðš¥(ðœ)ð‘ is regular & complete bipartite. Moreover, if ðœ is a discrete topology defined on nonempty set ð‘‹ with ð‘‹ = 2 or ð‘‹ = 3 then it is shown that the graph ðš¥(ðœ)ð‘ is Hamiltonian, vertex-transitive, edge-transitive and has a perfect matching. We also provide exact value of the independence number, vertex connectivity and edge connectivity of the graph ðš¥(ðœ)ð‘ of a discrete topology defined on nonempty setð‘‹ with ð‘‹ = 2 or ð‘‹ = 3. Main finding of this work is that, if (ð‘‹, ðœ) is a discrete topological space with ð‘‹ = 2 or ð‘‹ = 3 then it is shown that ðš¥(ðœ)ð‘ is distance-transitive graph and distance regular graph.
PubDate: 2022-03-14
Issue No: Vol. 12 (2022)
- Existence and uniqueness of solution of fractional order differential
equation of finite delay in cone metric space
Authors: S.K. Talankar, A.B. Jadhav, R.A. Muneshwar
Abstract: In this paper, we use Caputo sence to prove the existence and uniqueness of solutions to fractional differential equations with finite delay and nonlocal conditions in cone metric space. The result is achieved by applying several expansions of Banach’s contraction principle to the entire cone metric space, as well as providing an illustration of the primary result.
PubDate: 2022-03-14
Issue No: Vol. 12 (2022)
- Common fixed point theorems for occasionally weakly compatible maps
satisfying property (E. A) using an inequality involving quadratic terms
in manger space for six maps
Authors: P. P. Murthy, K.N.V.V.V. Prasad, Jyotsana Majumdar
Abstract: The purpose of the paper is to establish the existence of two fixed point theorems for six maps under the weaker concept of compatibility called occasionally weakly compatible in Menger space in which the contraction condition contains involving quadratic terms also. The obtained results are improved versions of some of the results obtain in the literature of Fixed Point Theory and Application by employing the property (E. A).
PubDate: 2022-03-14
Issue No: Vol. 12 (2022)
- Neighbor sum distinguishing total choosability of planar graphs without
4-cycles adjacent to 3-cycles
Authors: Kittikorn Nakprasit, Patcharapan Jumnongnit
Abstract: Let φ be a proper total coloring of a graph G with integers as colors. For a vertex v, let w(v) denote the sum of colors assigned to edges incident to v and the color assigned to v. If w(u)≠w(v) whenever uv∈E(G), then φ is called a neighbor sum distinguishing total coloring. A k-assignment L of G is a list assignment L of integers to vertices and edges with L(z) =k for each z∈V(G)∪E(G). A total-L-coloring is a total coloring φ of G such that φ(v)∈L(v) whenever v∈V(G) and φ(e)∈L(e) whenever e∈E(G). The smallest integer k such that G has a neighbor sum distinguishing total-L-coloring for every k-assignment L is called the neighbor sum distinguishing total choosability of G and is denoted by Ch∑’’(G). Wang, Cai, and Ma [15] proved that every planar graph G without 4-cycles with ∆(G)≥7 has Ch∑’’(G)≤∆(G)+3. In this work, we strengthen the result of Wang et al by proving that Ch∑’’(G)≤∆(G)+3 for every planar graph G without 4-cycles adjacent to 3-cycles with ∆(G)≥7.
PubDate: 2022-03-14
Issue No: Vol. 12 (2022)
- Divisor prime graph
Authors: Sarika M. Nair, J. Suresh Kumar
Abstract: Let n be an integer. The divisor prime graph GDp(n) is a graph whose vertices are divisors of n and two vertices di and dj are adjacent if and only if gcd(di,dj) = 1. In this paper we introduce and investigate the structural properties of divisor prime graph.
PubDate: 2022-03-14
Issue No: Vol. 12 (2022)
- Complex dynamics of a discrete-time model with prey refuge and Holling
type-II functional response
Authors: R. Ahmed, M. S. Yazdani
Abstract: The chaotic dynamics of a discrete-time predator-prey model with prey refuge and Holling type-II functional response are investigated. We investigate the system’s existence and local stability. Using bifurcation theory, it is demonstrated that the system experiences period-doubling bifurcation and Neimark-Sacker bifurcation. Furthermore, numerical simulations are carried out to demonstrate the compatibility with analytical conclusions as well as the system’s complexity.
PubDate: 2022-03-14
Issue No: Vol. 12 (2022)
- Aperture coupled modified rectangular dielectric resonator antenna arrays
for X-band applications
Authors: Sovan Mohanty, Baibaswata Mohapatra
Abstract: This paper proposes an aperture coupled 3×3 rectilinear geometry-based periodic modified rectangular dielectric resonator antenna array for X-band applications. In this paper, the complex electromagnetic field problem of RDRA is addressed through a modified rectilinear-shaped DRA. Notches are created on the dielectric resonator to alter the normal components of the electric field pattern instantaneously. It leads to the reduction in the magnitude of reactive current density, resulting in a lessening of the Q-factor and enhancement of the bandwidth. This antenna shows multiband response, resonating at 8.42, 10.08, and 11.60 GHz frequency with a peak gain of 12.94 dBi at 9.75 GHz with consistent gain stability over the entire frequency band of operation. The radiation efficiency is around 96.1% due to low losses. The impedance bandwidths for different bands are 4.51%, 2.77%, and 4.56% at the resonating frequency of 8.42, 10.08, and 11.60 GHz. A comparative analysis of input and output characteristics is carried out between single, double, and nine-cell arrays. The designed antenna is excited by a branch line series-corporate constrained micro-strip feeding network with three apertures. This novel design is suitable for microwave X-band applications.
PubDate: 2022-03-07
Issue No: Vol. 12 (2022)
- Modeling of climate change vulnerability levels in Indonesia: Smoothing
splines quantile regression
Authors: Husnul Chotimah, Rinda Fitriani, Yudhie Andriyana
Abstract: Indonesia's forest area decreases every year and be the top four countries with the largest primary forest loss in the world. There is 99 percent of Indonesia's territory that is quite vulnerable to being very vulnerable to climate change. Considering the urgency of the climate change issue and the SDGs targets for handling impacts of climate change, this research will focus on the effect of deforestation on the climate change vulnerability levels in Indonesia. The smoothing spline quantile regression modeling was carried out because of the nonlinear relationship between deforestation and climate change vulnerability levels and data contains outlier. The result, deforestation has a significant positive effect on the distribution of villages based on vulnerability to climate change. The higher deforestation rate will increase climate change vulnerability levels. There are four provinces (Bangka Belitung, Riau Islands, South Kalimantan, and East Kalimantan) have a small number of villages with a very vulnerable level of climate change, and five provinces (Banten, East Nusa Tenggara, West Papua, Papua, and North Sumatera) have a large number of villages with a very vulnerable level of climate change. Forest protection strategies and avoiding permanent land conversion are management innovations that need to be implemented.
PubDate: 2022-03-07
Issue No: Vol. 12 (2022)
- An improved Newton-Raphson method with quadratic convergence for solving
nonlinear transcendental equations
Authors: K. Venkateshwarlu, G. Mahesh, G. Swapna
Abstract: This paper presents a new scheme to find a non-zero positive root of the non-linear single variable equations. The proposed method is based on the grouping of the arc sine series and Newton-Raphson method. The proposed method is implemented in MATLAB and is applied to various models of problems to ensure the methods applicability. The proposed method is studied on number of numerical examples and results signify that our method is better and more effective as comparable to renowned methods. These results are depicted through error analysis. The convergence of proposed method is proven to be quadratically convergence.
PubDate: 2022-03-07
Issue No: Vol. 12 (2022)
- A modified fuzzy clustering approach in unsupervised classification for
detecting the mixed pixels of satellite images
Authors: A.R. Sherwani, Q.M. Ali, Irfan Ali
Abstract: The major problem of remote sensing images is mixed pixels, available in the data which degrades the quality, accuracy of the image classification and object recognition. To overcome the problem of mixed pixel in a real satellite data a modified K-means clustering algorithm and a modified fuzzy C-means clustering algorithm, are discussed. The algorithms are developed by modifying the membership function of the standard K-means clustering algorithm (FKM) and the standard fuzzy C-means algorithm (FCM). The performance of the proposed algorithms is discussed and compared with the traditional fuzzy K-means algorithm and the traditional FCM algorithm. Results on classification and segmentation of satellite images reveal that the suggestive algorithms are robust and effective.
PubDate: 2022-02-28
Issue No: Vol. 12 (2022)
- A lifesaving tool for covid patients using BPF soft topology: decision
making in oxygen concentrator
Authors: K. Vishalakshi, S. Maragathavalli
Abstract: In this paper, we introduced the notion of bipolar Pythagorean fuzzy soft topology and proved some of its basic properties. We defined bipolar Pythagorean fuzzy regular generalized soft sets. We presented some basic operations on bipolar Pythagorean fuzzy soft topology. We gave an application of bipolar Pythagorean fuzzy soft open sets which are bipolar Pythagorean fuzzy regular generalized closed sets taken from bipolar Pythagorean fuzzy topology into a decision-making problem.
PubDate: 2022-02-28
Issue No: Vol. 12 (2022)
- On convolution property of HY transform and its applications
Authors: Araya Wiwatwanich, Duangkamol Poltem
Abstract: In this paper, we have given a new application of HY transform. The convolution property for HY transform is obtained. We used this new result to solve integral equations and fractional integral equation. Few examples have been presented to illustrate the efficiency of the property.
PubDate: 2022-02-28
Issue No: Vol. 12 (2022)
- Qualitative analysis of A.P.A. solution for fractional order neutral
stochastic evolution equations driven by G-Brownian motion
Authors: A. D. Nagargoje, V. C. Borkar, R. A. Muneshawar
Abstract: In this paper, we will analyses the square mean almost pseudo automorphic mild solution for fractional order equation, (1) c0Dαγ [ℵ(γ)−D(γ,ℵ(γ))] = [Aℵ(γ) +φ(γ,ℵ(γ))]dγ + ϕ(γ,ℵ(γ))d<B>(γ) + ψ(γ,ℵ(γ))dB(γ), γ∈R where A(γ) : D(A(γ)) ⊂ L 2 G (F) → L 2 G (F) is densely closed linear operator and the functions D, φ, ϕ and ψ: L2G(F) → L2G(F) are jointly continuous. We drive square mean almost pseudo automorphic mild solution for fractional order neutral stochastic evolution equations driven by G-Brownian motion is obtain by using evolution operator theorem and fixed point theorem. Moreover, we prove that this mild solution of equation (1) is unique.
PubDate: 2022-02-28
Issue No: Vol. 12 (2022)
- On weakly regular semigroups characterized in terms of interval valued
Q-fuzzy subsemigroups with thresholds (α,β)
Authors: Kasitra Neanhean, Thiti Gaketem
Abstract: In this article, we provide relationship between interval valued Q-fuzzy interior ideals with thresholds (α,β) and interval valued Q-fuzzy ideals with thresholds (α,β). In the goal results, we proceed to characterize the simisimple semigroup by using interval valued Q-fuzzy interior ideals with thresholds (α,β).
PubDate: 2022-02-28
Issue No: Vol. 12 (2022)
- Sumudu transform HPM for Klein-Gordon and Sine-Gordon equations in one
dimension from an analytical aspect
Authors: Mamta Kapoor
Abstract: In the present research work, a hybrid algorithm is introduced, which includes an integral transform “Sumudu Transform” and the well-known semi-analytical regime “Homotopy Perturbation Method” named as “Sumudu Transform Homotopy Perturbation Method (STHPM)” to evaluate the exact solution of Klein-Gordon and Sine-Gordon equations. The discussed equations in this research have a prominent role in sciences and engineering. The authenticity and efficacy of this regime are established via a comparison between approximated solutions and exact solutions. Convergence analysis is also provided, which affirms that the solution obtained from STHPM is convergent and unique in nature. The results obtained by STHPM are compared with exact solutions. 2D and 3D plots are also discussed. The present regime is a reliable technique to provide the exact solution to a wide category of non-linear PDEs in an easy way, without any need of discretization, complex computation, linearization, and it is also error-free.
PubDate: 2022-02-23
Issue No: Vol. 12 (2022)
- Evaluating performance of a single high temperature solid oxide fuel cell
with parametric simulation over its dimensions
Authors: Sahil Bansal, Anand K. Tyagi, Anuj K. Sharma
Abstract: The versatility of fuel cells makes them the future of energy sources on Earth. In this paper, a three dimensional solid oxide fuel cell in planar configuration, with hydrogen fuel and air as oxidant, has been modeled using COMSOL Multiphysics software. The gas flow in the gas channels is modeled by Navier Stokes equations while that through the electrodes is studied by applying the Brinkman equations. The model is simulated for the variation in the sizes of the gas diffusion channel including length, height and width of the channel. The polarization and power characteristics of the cell are plotted and studied over the variations. The cell performance is evaluated considering counter-flow and co-flow of the gases in the channels, separately. A clear impact of the change in the sizes of the channel is observed on the performance of the cell. A comparison of the counter-flow and co- flow patterns has also been made.
PubDate: 2022-02-23
Issue No: Vol. 12 (2022)
- Common fixed point results for hybrid contraction in Hausdorff fuzzy
metric space
Authors: Rajesh Kumar Saini, Mukesh Kushwaha
Abstract: Hybrid contraction of single and multi-valued fuzzy mappings in Hausdorff fuzzy metric space is discussed in the present article. Here, we introduced the concept of α∗−η∗−ψ−hybrid contraction for single and multi-valued fuzzy mappings and prove the common fixed point results in Hausdorff fuzzy metric space.
PubDate: 2022-02-23
Issue No: Vol. 12 (2022)
- Asymmetry quantification in cross modal retrieval using copulas
Authors: Loubna Karbil, Mohamed El Maazouz, Ahmed Sani, Imane Daoudi
Abstract: Copulas are used to describe and explain the asymmetry between image-text and text-image retrieval observed in different values of the mean average precision (MAP). We use empirical copulas to quantify the asymmetry in a general framework of cross-modal retrieval via suitable asymmetry measures. Several experiments are done on real world dataset feautures to prove the relevance of our analysis.
PubDate: 2022-02-23
Issue No: Vol. 12 (2022)
- Some properties of k-generalized Mittag Leffler function related to
fractional calculus
Authors: Krishna Gopal Bhadana, Ashok Kumar Meena, Vishnu Narayan Mishra
Abstract: This paper deals with the k-new generalized Mittag Leffler function. Some of its properties related to fractional calculus are presented viz. k-Weyl fractional integral and k-extended Euler beta integral transform, Whittaker integral transform. Some important special cases of the main results are also have been discussed.
PubDate: 2022-02-16
Issue No: Vol. 12 (2022)
- Optimal control of ship collision avoidance problem
Authors: Yousra Melhaoui, Abdelali Kamil, Maryam Riouali, Khalifa Mansouri, Mostafa Rachik
Abstract: The continuous increasing of maritime traffic amplified the severity of the collision risk issue in the maritime domain. Therefore, the calculus and optimization of ship’s navigation without collision risks have been known as a major challenge for the scientific researches’ community. Several solutions were proposed to enhance the maritime safety. The topic was covered as an optimal control problem with state constraints using Nonlinear Model Predictive Control in order to consider the nonlinearity of the ship motion. Other researches relied on calculating risks of collisions in ocean navigation by metaheuristic methods or by neural networks in order to cover multi-ship collision risk situation. In this paper, a detailed description of necessary elements used in the analysis of the maritime navigation without collision issue is presented including the ship motion, the International Regulations for Preventing Collisions at Sea COLREGs rules, and the navigation cost. An analytical study of optimal control based on Pontryagin’s Maximum Principle to avoid ship collision situation with more efficiency is proved and detailed. Simulation results that show the efficiency of the described method are calculated using MATLAB.
PubDate: 2022-02-16
Issue No: Vol. 12 (2022)
- A sensitivity analysis of a gonorrhoea dynamics and control model
Authors: Louis Omenyi, Aloysius Ezaka, Henry O. Adagba, Gerald Ozoigbo, Kafayat Elebute
Abstract: We formulate and analyse a robust mathematical model of the dynamics of gonorrhoea incorporating passive immunity and control. Our results show that the disease-free and endemic equilibria of the model are both locally and globally asymptotically stable. A sensitivity analysis of the model shows that the dynamics of the model is variable and dependent on waning rate, control parameters and interaction of the latent and infected classes. In particular, the lower the waning rate, the more the exponential decrease in the passive immunity but the susceptible population increases to the equilibrium and wanes asymptotically due to the presence of the control parameters and restricted interaction of the latent and infected classes.
PubDate: 2022-02-16
Issue No: Vol. 12 (2022)
- Two warehouse inventory model for deteriorating items with fixed
shelf-life stock-dependent demand and partial backlogging
Authors: Neeraj Kumar, Sweta Dahiya, Sanjey Kumar
Abstract: In inventory management self life expiration date has a unique role. In the practice there are many goods and services such as food, medication remain safe and suitable for human consumption until it exist their shelf life. In this paper, we implemented a fixed shelf life of a deterministic inventory model for decaying items in two warehouses system with partial backlogging. The demand rate is considered stock dependent means that demand inclined by display of the stock level. In two warehouse system we are considering one own warehouse and second warehouse is on rented basis. The preservation facility is good in rented warehouse than own warehouse. Due to various preserve conditions, deterioration rate in two warehouses may be differs. In addition, backlogging rate is time dependent which is inversely proportional to the waiting time for the next cycle. The model is also justified by the numerical examples under two cases and also sensitivity analysis is carried out with various parameters by using MATLAB R16b.
PubDate: 2022-02-16
Issue No: Vol. 12 (2022)
- Non-Newtonian blood flow model with the effect of different geometry of
stenosis
Authors: Manisha -, Vinay Nasha, Surendra Kumar
Abstract: The objective of this paper is to present a non-Newtonian blood flow model with the effect of different geometry of stenosis on various flow quantities. The Power-law model is considered to explore the non-Newtonian property of blood. Two-point Gauss quadrature formula is applied to obtain the numerical expressions of dimensionless flow resistance, skin-friction and flow rate. The variation of dimensionless flow resistance, skin-friction and flow rate with degree of stenosis, axial distance and power-law index is shown graphically. Moreover, the power-law index is adjusted to explore the non-Newtonian characteristics of blood. The importance of the present work has been carried out by comparing the results with other theories both numerically and graphically. It has been found that resistance to flow becomes maximum with total blockage of artery for different shape of stenosis.
PubDate: 2022-02-16
Issue No: Vol. 12 (2022)
- New generalized rational α∗-contraction for multivalued
mappings in b-metric space
Authors: Moirangthem Kuber Singh, Thounaojam Stephen, Konthoujam Sangita Devi, Yumnam Rohen
Abstract: In this paper, we introduce the concept of generalized rational α∗-contraction for multivalued mappings in the setting of b-metric space. Further, we prove some common fixed point theorems for such rational contraction of multivalued mappings.
PubDate: 2022-02-16
Issue No: Vol. 12 (2022)
- On weakly α-shifting ring
Authors: Manjuri Dutta, Khwairakpam Herachandra Singh, Nazeer Ansari
Abstract: For a ring endomorphism α, we introduce weakly α-shifting ring which is an extension of reduced as well as α-shifting ring. The notion of weakly α-shifting ring is a generalization of weak α-compatible ring. We investigate various properties of this ring including some kinds of examples in the process of development of this new concept.
PubDate: 2022-02-16
Issue No: Vol. 12 (2022)
- Woven K-g-frames in Hilbert C∗-modules
Authors: Hamid Faraj, Mohamed Derouich, Mohamed Rossafi
Abstract: The aim of this paper is to introduce woven K-g-frames in Hilbert C∗-modules, to characterize them in term of atomic system for K, and to discuss the erasures and perturbations of weaving of K-g-frames in Hilbert C∗-modules.
PubDate: 2022-02-16
Issue No: Vol. 12 (2022)
- Weak contraction condition for faintly compatible mappings involving cubic
terms of metric functions
Authors: Manju Rani, Nawneet Hooda, Deepak jain
Abstract: In this paper, we obtain a generalized common fixed point theorem for four mappings using the conditions of non-compatibility and faint compatibility satisfying a generalized ∅−weak contraction condition that involves cubic terms of ð‘‘(ð‘¥, ð‘¦). Also, we provide an example in support of our result.
PubDate: 2022-02-07
Issue No: Vol. 12 (2022)
- Stable linear multistep methods with off-step points for the solution of
ordinary differential equations
Authors: I. M. Esuabana, S. E. Ekoro, U. A. Abasiekwere, E. O. Ekpenyong, T. O. Ogumbe
Abstract: Of recent, stability has become an important concept and a qualitative property in any numerical integration scheme. In this work, we propose two stable linear multistep methods with off-step points for the numerical integration of ordinary differential equations whose development is collocation and interpolation based. The boundary locus techniques show that the proposed schemes are zero-stable, A-stable and -stable for some step number and are found suitable for stiff differential equations. Numerical results obtained compare favourably with some existing methods in literature.
PubDate: 2022-02-07
Issue No: Vol. 12 (2022)
- Well-posedness and exponential stability of swelling porous elastic soils
with a second sound and distributed delay term
Authors: Sabah Baibeche, Lamine Bouzettouta, Amar Guesmia, Manel Abdelli
Abstract: In this paper we consider a one-dimensional swelling porous-elastic system with second sound and distributed delay term. We prove that the combination of the frictional damping with the heat flux effect is strong enough to provoke an exponential decay of the energy even if the delay is a source of destabilization.
PubDate: 2022-02-07
Issue No: Vol. 12 (2022)
- Approximation of best proximity pair for noncyclic relatively
ρ-nonexpansive mappings in modular spaces endowed with a graph
Authors: Nour-Eddine El Harmouchi, Karim Chaira, Abdessamad Kamouss
Abstract: In this work, at first we prove an existence result of best proximity pair for noncyclic relatively ρ-nonexpansive mapping in the setting of modular spaces endowed with a convex directed graph. Furthermore, we study the convergence of a pair of sequences ((xn, x’n ))n generated by a new iterative scheme for noncyclic relatively (ρG)-nonexpansive mapping in uniformly convex modular spaces equipped with a convex directed graph.
PubDate: 2022-02-07
Issue No: Vol. 12 (2022)
- Osculating surfaces along a curve on a surface in Euclidean 3-space
Authors: R. A. Abdel-Baky, M. Khalifa Saad
Abstract: We define an osculating surface to a surface along a curve on the surface in Euclidean 3-space E3. Then, we analyze the necessary and sufficient condition for that surface to be ruled surface. Finally, we illustrate the convenience and efficiency of this approach by some representative examples.
PubDate: 2022-02-07
Issue No: Vol. 12 (2022)
- Optimization of the Cramer Lundberg model based value function of
reinsurance with random claims and new premium arrival
Authors: S. Najeema, K. Vasudevan
Abstract: In general, an insurance company who experiences two opposing cash flows incoming cash premiums and outgoing claims that is also known as classical risk process that satisfies Cramér–Lundberg model. However the arrival of the new premium holders and there cash flow over a period of time was not considered in most works. In this model, we considered the arrival of new premiums with expectation of surplus process until ruin time with dynamic reinsurance strategy. For attaining this condition, we formulated a Value function which is bounded and satisfied by the Hamilton Jacobi Bellman (HJB) partial diﬀerential equation. We apply the policy iteration method to find the maximum the surplus level and corresponding dynamic reinsurance strategy under excess of loss, quota share and stop loss reinsurance problems.
PubDate: 2022-02-01
Issue No: Vol. 12 (2022)
- Modelling the effect of fusarium oxysporum in transmission dynamics of
fusarium wilt disease of cashew plants in context of South-Eastern
Tanzania
Authors: Fatu Chilinga, Alfred K. Hugo, Alfred M. Wanyama
Abstract: Cashew nuts are the most important cash crop in Tanzania's south-eastern region, where cashew nut farming is the primary source of income for the majority of people. Aside from their importance, cashew plants are vulnerable to Fusarium wilt, a devastating disease. In particular study a system of equations for the model is formulated and analyzed qualitatively using the stability theorem of ordinary differential equation. The stability analysis indicates that the system is stable under the specified conditions. Furthermore, the analysis shows that an increase in transmission is determined by the rate of contact between susceptible plants and infected plants via root contact, whereas numerical results show that decomposed infected plants contribute to the growth of Fusarium oxysporum, increasing the disease outbreak.
PubDate: 2022-02-01
Issue No: Vol. 12 (2022)
- Cubic bi-ideal in Γ-semirings
Authors: Sunita Buaban, Suthihda Wongkhat, Thiti Gaketem
Abstract: In this paper we introduce the notion cubic bi-ideal in Γ-semiring and we study basic properties of cubic bi-ideal.
PubDate: 2022-02-01
Issue No: Vol. 12 (2022)
- Zero divisor graph of boolean lattice
Authors: S. Aswathy, Gigi Thomas, Jill K. Mathew
Abstract: The concept of zero divisor graph has been previously studied in algebraic structures like commutative rings, semi groups, semi lattices and ordered sets. In this paper, we investigate the properties of zero divisor graph of boolean lattices. Let L be a lattice and Γ(L) be the zero divisor graph of L. We find a relationship between the clique number and chromatic number of Γ(L) and some properties of zero divisor graph of boolean lattices. We also study the relationship between aut(L) and aut(Γ(L)) and establish the isomorphism between them.
PubDate: 2022-02-01
Issue No: Vol. 12 (2022)
- New formula of degree distance index for some complex networks
Authors: Laghridat Charifa, Mounir Ilham, Essalih Mohamed
Abstract: Mathematics plays an important role in various fields, one of them is graph theory. Graphs can be used to model many types of relations and processes in many domains such as solving problems related to mathematical chemistry by using topological indices. A topological index of a graph is a number that quantifies the structure of the graph. It is used for modeling the biological and chemical properties of molecules in QSPR (Qualitative Structure-Property Relationships) and QSAR (Qualitative Structure-Activity Relationships) studies. The Degree Distance index DD(G) is one of the important topological indices. In this paper, we are going to determine DD(G) for some complex graphs like: Star vertex’s graph (SV), Star edge’s graph (SE), and Path’s graph (P).
PubDate: 2022-02-01
Issue No: Vol. 12 (2022)
- A decision making approach based on weighted fuzzy soft set
Authors: Dwijendra Nath Bar
Abstract: This paper is aimed at developing an approach of a real life decision making problem with respect to an weighted fuzzy soft set with preference. This paper introduces weighted fuzzy soft set and studies some of its properties. This paper also enquires about the relations on weighted fuzzy soft sets. Finally, a real life decision making problem in weighted fuzzy soft set is proposed.
PubDate: 2022-02-01
Issue No: Vol. 12 (2022)
- Mittag-Leffler-Hyers-Ulam Stability of a linear differential equations of
second order using Laplace transform
Authors: A. Ponmana Selvan, R. Veerasivaji, V. Kamalakannan, M. Saravanan
Abstract: In this paper, we investigate the Mittag-Leffler-Hyers-Ulam stability and Mittag-Leffler-Hyers-Ulam-Rassias stability of a homogeneous and non-homogeneous linear differential equations of second order by using Laplace transforms.
PubDate: 2022-02-01
Issue No: Vol. 12 (2022)
- Some fixed point results in V−fuzzy metric space using rational
contraction mapping
Authors: D. Poovaragavan, M. Jeyaraman
Abstract: In this paper, we make some fixed point theorems for a new type of generalized contractive mappings including C−class function, γιs− admissible type mapping and rational contractive in the casing work of complete V−Fuzzy Metric Spaces. The outcomes acquired in this work generalize and further develop some fixed point results in this article.
PubDate: 2022-02-01
Issue No: Vol. 12 (2022)
- Well-posedness of Riemann-Liouville fractional degenerate equations with
finite delay in Banach spaces
Authors: Bahloul Rachid
Abstract: We study the Existence and uniqueness of solutions of the Riemann-Liouville fractional integrodifferential degenerate equations$\frac{d}{dt}(B \frac{1}{\Gamma (1 - \alpha)}\int_{- \infty}^{t}(t - s)^{- \alpha } x(s) ds )= Ax(t) + \int_{-\infty}^{t}a(t -s)x(s)ds + L(x_{t}) + \frac{1}{\Gamma (\beta)} \int_{- \infty}^{t}(t - s)^{\beta - 1 } x(s) ds + f(t)$. where A and B are a linear closed operators in a Banach space.
PubDate: 2022-02-01
Issue No: Vol. 12 (2022)
- Common coupled fixed and coincidence points results for rational type
contraction mappings in complex valued Sb-metric spaces
Authors: N. Priyobarta, Thounaojam Indubala, Konthoujam Sangita Devi, Oinam Budhichandra Singh
Abstract: In this paper, we introduce a new rational type contraction mapping in complex valued Sb-metric space and find some common coupled fixed and coincidence points. Some results are also given as corollaries.
PubDate: 2022-02-01
Issue No: Vol. 12 (2022)
- Rough I-convergence in cone metric spaces
Authors: Amar Kumar Banerjee, Anirban Paul
Abstract: Here we have studied the notion of rough I-convergence as an extension work of the idea of rough convergence in a cone metric space using ideals. We have further introduced the notion of rough I∗-convergence of sequences in a cone metric space to find the relationship between rough I and I∗-convergence of sequences.
PubDate: 2022-02-01
Issue No: Vol. 12 (2022)
- Differential value of splitting and middle graph of some standard graphs
Authors: D. Muralidharan, M.S. Paulraj, D. Yokesh
Abstract: Let G = (V,E) be a graph and X be a subset of V. Let B(X) be the set of vertices in V−X that has a neighbour in a set X. The differential of set X is defined as ∂(X) is B(X) − X and the differential of a graph is defined as ∂(G) = max{∂(X)/X⊂V}. In this paper, we obtain the differential value of middle and splitting graph for path, cycle, star, wheel and complete graph.
PubDate: 2022-02-01
Issue No: Vol. 12 (2022)
- Identification of parameters for classification of COVID-19 patient’s
recovery days using machine learning techniques
Authors: Digambar Uphade, Aniket Muley
Abstract: Nowadays, Corona virus has been spreading all over the world. Discovery of various perspectives is going on. Our aim is to identify the recovery days of patients from the Covid-19 disease. To classify the patient using various parameters that affect his/her recovery days. It is complex to deal with numerous parameters, so to reduce the complexity feature selection techniques were employed. In this study, we have dealt with different machine learning approaches for classifying the patients dataset collected through the online survey methodology. We are pioneers in dealing with aspects. Based on these techniques, our interest is to classify the patients as based on the number of recovery days. This present study has major contributions as a method of classification and is an easily understandable way using statistical visualization plots viz., bar plots, pie charts etc. The machine learning algorithms like Logistic regression, Decision tree, Random forest, Neural network, Support vector machine, K Nearest Neighbor were used for performing this task. Further, comparative study is performed and the neural network gives better accuracy to classify the respondents. Finally, results explored with supervised learning are more accurate to detect the COVID-19 recovery patients’ cases and neural network is found to be an efficient algorithm as compared with other algorithms (100%).
PubDate: 2022-01-24
Issue No: Vol. 12 (2022)
- TensorFlow-based smart home using semi-supervised deep learning with
context-awareness
Authors: S. Umamageswari, M. Kannan
Abstract: In recent years, Smart homes play a significant role in improving the quality of human life due to the rapid proliferation of the Internet of Things (IoT) technology. The previous research works on the smart home system have adopted the machine learning and deep learning algorithms to predict the sequential activities in the smart home. This work presents a model of SMART home automation with Context-Awareness using Stacked AutoEncoder (SAE) -Long Short-Term Memory (LSTM) in TensorFlow (SMART-CAST). The SMART-CAST approach comprises three main processes, including the integration of internal and external home data, SAE-assisted unsupervised learning, and LSTM with back propagation-assisted supervised learning. By inter-linking the spatial and temporal attribute-values, the SMART-CAST unifies the smart home and weather data for facilitating decision-making. It employs the SAE to generate the compressed representation of the unified smart home data from the unlabeled information. In consequence, the SMART-CAST approach applies the LSTM with the extracted compressed representation for learning the labeled data and updates the weight of the LSTM through backpropagation to predict the sequential activities in the smart home system. To further improve the decision-making performance, the experimental model executes the proposed semi-supervised deep learning algorithm in the TensorFlow deep learning framework.
PubDate: 2022-01-24
Issue No: Vol. 12 (2022)
- Novel multilevel particle swarm optimization algorithm for graph
partitioning
Authors: Naresh Ghorpade, H. R. Bhapkar
Abstract: Graph partitioning is crucial step in resolving real time applications in the field of image analysis, smart city designing, wireless communications, data analysis etc. Though considerable research has been done for getting an optimal partitioning of graphs still it demands enhancement for diverse application problems. Hybrid graph partitioning approaches are promising and possess ability to partition graphs with large number of vertices. In our research we have developed multilevel particle swarm optimization algorithm for graph partitioning. Size of the graph is reduced by heavy edge matching algorithm and then greedy graph growing partitioning is used to divide the graph. Discrete particle swarm optimization used at the most important stage of refinement. Performance is evaluated by using Walshaw’s Benchmark graphs and from analysis it has been observed that proposed algorithm generates optimal partitioning with reduced cut values and computational cost.
PubDate: 2022-01-24
Issue No: Vol. 12 (2022)
- Ant colony optimization model for determining the shortest route in
Madura-Indonesia tourism places
Authors: Aeri Rachmad, Mohammad Syarief, Eka Mala Sari Rochman, Husni -, Getar Rahmatullah
Abstract: Travel planning is important, especially in areas that often-become tourist destinations. Each region must have an interesting tour, one of which is on the island of Madura. With so many tours available, it confuses tourists in determining tourist routes. In addition, on the island of Madura, many traditional markets spill onto the streets on certain days which can cause traffic jams so that tourists' journeys are hampered. In this study, a research method using Ant Colony Optimization (ACO) is proposed to determine the shortest route to tourist sites on Madura Island. Ant Colony Optimization method is one method that can solve an optimization problem. In solving the problem this method is inspired by the behavior of a collection of ants. Ants function as agents assigned to find solutions to a problem. Based on the experiments carried out, the accuracy value in finding the shortest route solution was 80%. In addition, the number of tours and the magnitude of the distance also affect the execution time of the process of determining the shortest route. The more tours that are visited and the greater the distance traveled, the longer the execution time of the process of determining the shortest route.
PubDate: 2022-01-24
Issue No: Vol. 12 (2022)
- Fixed points for weakly compatible maps with EA and CLR properties
Authors: Urvashi Arora, Sanjay Kumar
Abstract: Common fixed point theorems using weakly compatible maps with E.A property as well as common limit range property have been established for the mappings satisfying generalized contraction condition. For the validation of the results an application as well as an example has been given.
PubDate: 2022-01-24
Issue No: Vol. 12 (2022)
- Some results on weakly semi compatible mappings in fuzzy metric space
Authors: V. Srinivas, K. Satyanna
Abstract: The purpose of this paper is to generate two fixed point theorems in complete fuzzy metric space by using the concepts of weakly semi compatible mappings, sub sequentially continuous mappings and occasionally weakly compatible mappings. Further these results are validated by discussing suitable examples.
PubDate: 2022-01-24
Issue No: Vol. 12 (2022)
- A combination of algorithm agglomerative hierarchical cluster (AHC) and
K-means for clustering tourism in Madura-Indonesia
Authors: Eka Mala Sari Rochman, Ach. Khozaimi, Ika Oktavia Suzanti, Husni -, Rohmatul Jannah, Bain Khusnul Khotimah, Aeri Rachmad
Abstract: The development approach through the tourism sector is one of the programs launched by the government since 2016. However, the development approach is not carried out in all areas because the number of accommodation and public facilities is minimal and uneven, one of which is in Madura. With so many tourist objects in Madura, it is necessary to distribute the development of public facilities and analyze tourism that has a non-strategic distance to public facilities to help increase tourist visits. This study builds a system for clustering tourist attractions in each district in Madura based on the distance to public facilities which include hotels, gas stations, restaurants, and mosques which are important criteria and considerations for tourists in visiting a tourist location. The method used in this research is a combination of the AHC method with K-Means. The test results of the AHC, K-Means method, and the combination of AHC and K-Means methods using the Silhouette Coefficient method indicate that the AHC and K-Means combination method is the best method with a Silhouette Coefficient value of 0.8055 for k=2 and is classified as a strong structure, for the K method. -Means produces the highest Silhouette Coefficient value of 0.638. While the AHC method produces the highest Silhouette Coefficient value of 0.707.
PubDate: 2022-01-24
Issue No: Vol. 12 (2022)
- Kannan’s and Chatterjee’s type fixed point theorems using ψ-positive
functions in C∗-algebra valued b-metric spaces
Authors: R. A. Rashwan, Saleh Omran, Asmaa Fangary
Abstract: The aim of this present paper is to obtain some fixed point theorems such as Kannan and Chatterjee type and their extension for a self mappings in a complete C∗-algebra valued b-metric space by using positive functions on C∗-algebras.
PubDate: 2022-01-24
Issue No: Vol. 12 (2022)
- Complementary connected domination and connectivity domination number of
an arithmetic graph G=Vn
Authors: S. Sujitha, L. Mary Jenitha, M.K. Angel Jebitha
Abstract: A subset S of V is said to be a complementary connected dominating set if every vertex not in S is adjacent to some vertex in S and the sub graph induced by V−S is connected. The complementary connected domination number of the graph is denoted by γccd(G) and is defined as the minimum number of vertices which form a ccd-set. A set S of vertices in a graph G is a connectivity dominating set if every vertex not in S is adjacent to some vertex in S and the sub graph induced by V−S is not connected. The connectivity domination number κγ(G) is the minimum size of such set.
PubDate: 2022-01-24
Issue No: Vol. 12 (2022)
- Weakly prime ideals in Γ−nearrings
Authors: Azar Salami, Waheed Ahmad Khan, Sajjad Ahmed, Abdelghani Taouti
Abstract: In this note, we introduce and discuss the notion of weakly prime ideals in Γ−nearrings. We also provide few of their characterizations.
PubDate: 2022-01-24
Issue No: Vol. 12 (2022)
- Efficient decomposition method for integro-differential equations
Authors: Morufu O. Olayiwola, Kabiru O. Kareem
Abstract: Different methods have been used in the solution of integro-differential equations. Many of these methods such as Standard Adomian Decomposition Method (SADM) take several iterations which might be difficult to solve and also consume time before getting an approximation. This present study developed a new Modified Adomian Decomposition Method (MADM) for Integro-Differential Equations. The modification was carried out by decomposing the source term function into series. The newly modified Adomian decomposition method (MADM) accelerates the convergence of the solution (MADM) faster the Standard Adomian Decomposition Method (SADM). This study recommends the use of MADM for solving Integro-Differential Equations.
PubDate: 2022-01-24
Issue No: Vol. 12 (2022)
- Existence and uniqueness of mild and strong solutions of nonlinear
fractional integrodifferential equation
Authors: A. D. Nagargoje, V. C. Borkar, V. D. Mathpati
Abstract: In this paper, we will discuss some results on the existence and uniqueness of mild and strong solution of initial value problem of fractional order subjected to non-local conditions, by using the Banach fixed point theorem and the theory of strongly continuous cosine family under Caputo sense. Furthermore, we also prove that solution of Nonlinear Fractional Volterra Integrodifferential Equations and Nonlinear Fractional Mixed Integrodifferential Equations With Nonlocal Conditions is unique. Moreover, examples demonstrate the validity of the obtained main result and we obtain the solution for an equation, and proved that this solution is unique.
PubDate: 2022-01-24
Issue No: Vol. 12 (2022)
- An iterative algorithm for the generalized centro-symmetric solution of
the generalized coupled Sylvester matrix equations AV+BW=EVF+C,
MV+NW=GVH+D
Authors: Mohamed A. Ramadan, Marwa H. El-Sharway, Naglaa M. El-Shazly
Abstract: In this paper, an iterative algorithm for solving of the generalized coupled Sylvester matrix equations AV+BW=EVF+C, MV+NW=GVH+D over the generalized centro-symmetric matrices (V,W ) is proposed. For any initial generalized centro-symmetric matrices V0 and W0, a generalized centro-symmetric solution (V,W ) is obtained within a finite number of iterations in the absence of round-off errors. Two numerical examples are presented to support the theoretical results where the efficiency and accuracy of the suggested algorithm are shown.
PubDate: 2022-01-17
Issue No: Vol. 12 (2022)
- To solving second order ordinary differential equations with singular
points by Adomian decomposition method
Authors: Samah Saeed Salim, Yahya Qaid Hasan
Abstract: The Adomin Decomposition Method (ADM) is used to solve differential equations, so in this study we used (ADM) to solve second order ordinary differential equations with singular initial value problem then, the equation was given a generalization.
PubDate: 2022-01-17
Issue No: Vol. 12 (2022)
- An alternative method for investigating the effect of squeezing flow of a
Casson fluid between parallel walls on magnetic field
Authors: Saheed Alao, Rasaq Adekola Oderinu, Emmanuel Idowu Akinola, Olusola Emmanuel Opaleye
Abstract: In this article, the Magnetohydrodynamics (MHD) Casson fluid between parallel plate is numerically investigated. The nonlinear ordinary differential equation arising from the governing equations was numerically analyzed using collocation method of weighted residual. The efficiency of the method was measured by comparing the solutions obtained with the literatures. The compared results were found to be in excellent agreement. Flow behavior under the influence of physical variables (Squeeze number S, Casson fluid γ and Magnet number M) were presented in tabular and graphical form.
PubDate: 2022-01-17
Issue No: Vol. 12 (2022)
- Fixed points for intimate mappings
Authors: Kavita -, Sanjay Kumar
Abstract: In this paper, we introduce (ψ,φ)-weak contraction condition that involves cubic terms of distance function. We prove some fixed point theorems for pairs of intimate mappings satisfying newly introduced contraction condition and generalize the result of Murthy and Prasad [14] and Jain et al. [8]. At the end, an application for integral type contraction condition is given.
PubDate: 2022-01-10
Issue No: Vol. 12 (2022)
- Comparison of modelling and prediction of export values in West Java,
Banten, and Central Java using the STIMA and GSTIMA (1,1,1)
Authors: Hasrat Ifolala Zebua, Marnita Simatupang, Abdurrahman Al Ghifari, Yunita Dwi Ayu Ningtias, Toni Toharudin, Budi Nurani Ruchjana
Abstract: Export is the delivery and sale of goods from a country to abroad. The growth of export values can be seen from time to time and it differs between locations which are influenced by spatial interactions. The Space-Time Autoregressive Moving Average (STARMA) model is a model that combines the interdependence of time and location. However, the STARMA model is sometimes seen unrealistic as it assumes all parameters in all locations to be the same. Meanwhile, The Generalized Space-Time Autoregressive Moving Average (GSTARMA) model is more realistic because it produces different parameters for each location. This study aims to compare the STIMA and GSTIMA models and to forecast export values. The STIMA and GSTIMA models are the models with zero-order for AR and apply First Difference. In this study, the STIMA and GSTIMA models with weighted inverse distance are used to predict the value of exports in three interacting provinces that have dominant superior sectors in the industrial sector, namely the Provinces of West Java, Banten, and Central Java. The data used is export values from January 2014 – December 2018. The identification of the model revealed the 1st order cut-off on lag 1 of the STACF plot with the first data differencing. The selected order of spatial lag is lag 1 because these three provinces are located on the same island. This is confirmed through the VARMA approach where the AR(0) and MA(1) models have the smallest AIC values so that the models constructed are the STIMA(1,1,1) and GSTIMA(1,1,1). The results of this study indicated that the GSTIMA(1,1,1) model produce better prediction than the STIMA(1,1,1) as it has a smaller MAPE value, where each MAPE value is 14.23% for STIMA and 11.38% for GSTIMA. This result indicates the fulfillment of different parameter assumptions at each location under the existing phenomenon that the export management of each location has different characteristics.
PubDate: 2022-01-10
Issue No: Vol. 12 (2022)
- Improving the accuracy of the machine learning predictive models for
analyzing CHD dataset
Authors: Ivelin Georgiev Ivanov
Abstract: The problem to classify big data is an important one in machine learning. There are multiple ways to classify data, but the support vector machine (SVM) has become a great tool for the data scientist. In this paper we examine several modifications of the support vector machine algorithm that achieve better efficiency in terms of accuracy, F1 precision and CPU time when classifying test observations in comparison to the standard SVM algorithm. To make the modifications faster than standard SVM we use a special methodology which splits the input dataset into n folds and combine it with input data transformations. Each time we execute the process, one of the folds is saved as a test subset and the rest of the folds are applied for training. The process is executed n times. In the proposed methodology we are looking for the pair of subsets which produces the highest accuracy result. This pair is saved as an output SVM model.
PubDate: 2022-01-10
Issue No: Vol. 12 (2022)
- The forcing star edge chromatic number of a graph
Authors: R. Suganya, V. Sujin Flower
Abstract: Let S be a χ’st-set of G. A subset T⊆S is called a forcing subset for S if S is the unique χ’st-set containing T. The forcing star-edge chromatic number χ’st(S) of S in G is the minimum cardinality of a forcing subset for S. The forcing star-edge chromatic number χ’st(G) of G is the smallest forcing number of all χ’st-sets of G. Some general properties satisfied by this concept are studied. It is shown that for every pair a and b of integers with 0≤a<b and b>a+2 there exists a connected graph G such that χ’st(G)=a and χ’st(G)=b, where χ’st(G) is the star edge chromatic number of a graph.
PubDate: 2022-01-10
Issue No: Vol. 12 (2022)
- Evaluation of four convolution sums and representation of integers by
certain quadratic forms in twelve variables
Authors: Bulent Kokluce
Abstract: In this paper the convolution sums ∑6i+j=n σ(l)σ3(m), ∑2i+3j=n σ(l)σ3(m), ∑i+6j=n σ(l)σ3(m) and ∑3i+2j=n σ(l)σ3(m) are evaluated for all n∈N, and then their evaluations are used to determine the representation number formulae N(1,1,1,1,1,2;n),N(1,1,1,1,2,2;n) and N(1,1,1,2,2,2;n) where N(a1,...,a6;n) denote the representation numbers of n by the form a1(x21 + x1x2 + x22) + a2(x23 + x3x4 + x24 ) + a3(x25 + x5x6 + x26) + a4(x27 + x7x8 +x28 ) +a5(x29 +x9x10 +x210) +a6(x211 +x11x12 +x212).
PubDate: 2022-01-10
Issue No: Vol. 12 (2022)
- Standardized exponentiated Gumbel error innovation distribution in
modelling volatility models
Authors: Olayemi Michael Sunday, Olubiyi Adenike Oluwafunmilola
Abstract: Here we proposed three classes of volatility models using Standardized Exponentiated Gumbel Error Innovation Distribution (SEGEID). Important statistical and mathematical properties of this models have been discussed and derived. Hence, the parameters of the volatility models are discussed using the general log likelihood function of the SEGEID. Finally, the volatility models were obtained through partial derivative by adopting a method of numerical method BFGS.
PubDate: 2022-01-03
Issue No: Vol. 12 (2022)
- A literature review on blood supply chain management focused on
uncertainty: an inclusive approach
Authors: Namita Rani Mall, Monalisha Pattnaik
Abstract: In the context of Blood Supply Chain Management, blood supply chain network design is one of the most pivotal planning problems. The stages of blood supply chain management comprise of blood collection, production, inventorying and distribution. The main challenges faced by supply channels are related to shortage, out datedness, and supply chain cost which needs to be minimized. In the current scenario, supply chain network design decisions should be flexible enough to operate under complex and uncertain business environments for many years. Decision-making under uncertainty is a crucial phenomenon and a large number of relevant publications have emphasized its importance. This paper makes an attempt towards reviewing the literature in the fields of blood supply chain network design under uncertainty. This study is organized into two phases. In the first phase, a discussion is made on the types of blood products, potential issues, and stages of blood supply chain management whereas in the second phase, an exploration is made on the optimization techniques for dealing with uncertainty such as recourse-based stochastic programming, robust optimization and fuzzy mathematical programming. The scope of the study lies with capturing the unexplored dimensions related to blood supply chain management that will serve as substantial input for upcoming researchers and practitioners in the field of supply chain management.
PubDate: 2022-01-03
Issue No: Vol. 12 (2022)
- Lagrange computational approach for fractional-order delay systems of
Volterra integral and integro-differential equations
Authors: Marwa Masoud Mohammed, Hussein S. Hussein, Ismail Gad Ameen, Mohamed S. Akel
Abstract: In this paper, numerical solution depending on Lagrange cardinal operational collocation optimization method (LCOCOM) is introduced. The LCOCOM is developed to obtain the solutions of Volterra delay integral and integro-differential equations, as well fractional-order delay systems of Volterra integral and integrodifferential equations. We present numerical results and comparisons of existing treatments to demonstrate the efficiency and applicability of the proposed method. The proposed method gives more accurate solution with minimum number of approximation nodes in linear as well as nonlinear cases.
PubDate: 2022-01-03
Issue No: Vol. 12 (2022)
- Mathematical analysis of HIV infection of CD4+ T-cells with discrete
delays
Authors: A. Anu Priyadharshini, K. Krishnan
Abstract: In this study, we introduce a discrete time to the model to describe the time delays between infection of a CD4+ T-cells, and the emission of viral particles on a cellular level. We begin by determining the existence and stability of the equilibrium. Further We investigate the global stability of the infection-free equilibrium and give sufficient condition for the local stability of the infected steady state is asymptotically stable for all delays. Finally, the numerical simulations are presented to illustrate the analytical results.
PubDate: 2022-01-03
Issue No: Vol. 12 (2022)
- Efficient sixth order iterative method free from higher derivatives for
nonlinear equations
Authors: Ekta Sharma, Sunil Panday
Abstract: In this paper, we proposed new iterative sixth order convergence method for solving nonlinear equations. The combination of the Taylor series and composition approach is used to derive the new method. Numerous methods have been developed by many researchers whenever the function’s second and higher order derivatives exist in the neighbourhood of the root. Computing the second and higher derivative of a function is a very cumbersome and time consuming task. In terms of low computation cost, the newly proposed method finds the best approximation to the root of non-linear equations by evaluating the function and its first derivative. The proposed method has been theoretically demonstrated to have sixth-order convergence. The proposed method has an efficiency index of 1.56. Several comparisons of the proposed method with the various existing iterative method of the same order have been performed on the number of problems. Finally, the computational results suggest that the newly proposed method is efficient compared to the well-known existing methods.
PubDate: 2022-01-03
Issue No: Vol. 12 (2022)
- Analysis of fractional susceptible-exposed-infectious (SEI) model of
COVID-19 pandemic for India
Authors: Kalyanrao Takale, Jagdish Sonawane, Bhausaheb Sontakke, Amjad Shaikh
Abstract: The purpose of this article is to develop and analyse COVID-19 pandemic for India in terms of mathematical equations. We consider the basic Susceptible-Exposed-Infectious (SEI) epidemic model and develop the SEI model of COVID-19 for India. We use Adomian decomposition method to find solution of the group of fractional differential equations. We discuss the stability by using Routh-Hurwitz criterion for disease-free equilibria point and endemic equilibrium point. We obtain approximate solution of the group of fractional differential equations and its solution represented graphically by Mathematica software, that will be helpful to mininize the infection.
PubDate: 2022-01-03
Issue No: Vol. 12 (2022)