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MATHEMATICS (711 journals)                  1 2 3 4 | Last

Showing 1 - 200 of 538 Journals sorted alphabetically
Abakós     Open Access   (Followers: 4)
Abhandlungen aus dem Mathematischen Seminar der Universitat Hamburg     Hybrid Journal   (Followers: 4)
Academic Voices : A Multidisciplinary Journal     Open Access   (Followers: 2)
Accounting Perspectives     Full-text available via subscription   (Followers: 7)
ACM Transactions on Algorithms (TALG)     Hybrid Journal   (Followers: 15)
ACM Transactions on Computational Logic (TOCL)     Hybrid Journal   (Followers: 3)
ACM Transactions on Mathematical Software (TOMS)     Hybrid Journal   (Followers: 6)
ACS Applied Materials & Interfaces     Full-text available via subscription   (Followers: 29)
Acta Applicandae Mathematicae     Hybrid Journal   (Followers: 1)
Acta Mathematica     Hybrid Journal   (Followers: 12)
Acta Mathematica Hungarica     Hybrid Journal   (Followers: 2)
Acta Mathematica Scientia     Full-text available via subscription   (Followers: 5)
Acta Mathematica Sinica, English Series     Hybrid Journal   (Followers: 6)
Acta Mathematica Vietnamica     Hybrid Journal  
Acta Mathematicae Applicatae Sinica, English Series     Hybrid Journal  
Advanced Science Letters     Full-text available via subscription   (Followers: 10)
Advances in Applied Clifford Algebras     Hybrid Journal   (Followers: 4)
Advances in Calculus of Variations     Hybrid Journal   (Followers: 2)
Advances in Catalysis     Full-text available via subscription   (Followers: 5)
Advances in Complex Systems     Hybrid Journal   (Followers: 7)
Advances in Computational Mathematics     Hybrid Journal   (Followers: 19)
Advances in Decision Sciences     Open Access   (Followers: 3)
Advances in Difference Equations     Open Access   (Followers: 3)
Advances in Fixed Point Theory     Open Access   (Followers: 5)
Advances in Geosciences (ADGEO)     Open Access   (Followers: 13)
Advances in Linear Algebra & Matrix Theory     Open Access   (Followers: 3)
Advances in Materials Sciences     Open Access   (Followers: 14)
Advances in Mathematical Physics     Open Access   (Followers: 4)
Advances in Mathematics     Full-text available via subscription   (Followers: 11)
Advances in Numerical Analysis     Open Access   (Followers: 5)
Advances in Operations Research     Open Access   (Followers: 12)
Advances in Porous Media     Full-text available via subscription   (Followers: 5)
Advances in Pure and Applied Mathematics     Hybrid Journal   (Followers: 6)
Advances in Pure Mathematics     Open Access   (Followers: 6)
Advances in Science and Research (ASR)     Open Access   (Followers: 6)
Aequationes Mathematicae     Hybrid Journal   (Followers: 2)
African Journal of Educational Studies in Mathematics and Sciences     Full-text available via subscription   (Followers: 5)
African Journal of Mathematics and Computer Science Research     Open Access   (Followers: 4)
Afrika Matematika     Hybrid Journal   (Followers: 1)
Air, Soil & Water Research     Open Access   (Followers: 11)
AKSIOMA Journal of Mathematics Education     Open Access   (Followers: 1)
Al-Jabar : Jurnal Pendidikan Matematika     Open Access   (Followers: 1)
Algebra and Logic     Hybrid Journal   (Followers: 5)
Algebra Colloquium     Hybrid Journal   (Followers: 4)
Algebra Universalis     Hybrid Journal   (Followers: 2)
Algorithmic Operations Research     Full-text available via subscription   (Followers: 5)
Algorithms     Open Access   (Followers: 11)
Algorithms Research     Open Access   (Followers: 1)
American Journal of Computational and Applied Mathematics     Open Access   (Followers: 5)
American Journal of Mathematical Analysis     Open Access  
American Journal of Mathematics     Full-text available via subscription   (Followers: 6)
American Journal of Operations Research     Open Access   (Followers: 5)
An International Journal of Optimization and Control: Theories & Applications     Open Access   (Followers: 8)
Analele Universitatii Ovidius Constanta - Seria Matematica     Open Access   (Followers: 1)
Analysis     Hybrid Journal   (Followers: 2)
Analysis and Applications     Hybrid Journal   (Followers: 1)
Analysis and Mathematical Physics     Hybrid Journal   (Followers: 5)
Analysis Mathematica     Full-text available via subscription  
Annales Mathematicae Silesianae     Open Access  
Annales mathématiques du Québec     Hybrid Journal   (Followers: 4)
Annales UMCS, Mathematica     Open Access   (Followers: 1)
Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica     Open Access  
Annali di Matematica Pura ed Applicata     Hybrid Journal   (Followers: 1)
Annals of Combinatorics     Hybrid Journal   (Followers: 4)
Annals of Data Science     Hybrid Journal   (Followers: 11)
Annals of Discrete Mathematics     Full-text available via subscription   (Followers: 6)
Annals of Mathematics     Full-text available via subscription   (Followers: 1)
Annals of Mathematics and Artificial Intelligence     Hybrid Journal   (Followers: 12)
Annals of Pure and Applied Logic     Open Access   (Followers: 2)
Annals of the Alexandru Ioan Cuza University - Mathematics     Open Access  
Annals of the Institute of Statistical Mathematics     Hybrid Journal   (Followers: 1)
Annals of West University of Timisoara - Mathematics     Open Access  
Annuaire du Collège de France     Open Access   (Followers: 5)
ANZIAM Journal     Open Access   (Followers: 1)
Applicable Algebra in Engineering, Communication and Computing     Hybrid Journal   (Followers: 2)
Applications of Mathematics     Hybrid Journal   (Followers: 2)
Applied Categorical Structures     Hybrid Journal   (Followers: 2)
Applied Computational Intelligence and Soft Computing     Open Access   (Followers: 11)
Applied Mathematics     Open Access   (Followers: 3)
Applied Mathematics     Open Access   (Followers: 7)
Applied Mathematics & Optimization     Hybrid Journal   (Followers: 6)
Applied Mathematics - A Journal of Chinese Universities     Hybrid Journal  
Applied Mathematics Letters     Full-text available via subscription   (Followers: 2)
Applied Mathematics Research eXpress     Hybrid Journal   (Followers: 1)
Applied Network Science     Open Access   (Followers: 3)
Applied Numerical Mathematics     Hybrid Journal   (Followers: 5)
Applied Spatial Analysis and Policy     Hybrid Journal   (Followers: 4)
Arab Journal of Mathematical Sciences     Open Access   (Followers: 3)
Arabian Journal of Mathematics     Open Access   (Followers: 2)
Archive for Mathematical Logic     Hybrid Journal   (Followers: 2)
Archive of Applied Mechanics     Hybrid Journal   (Followers: 5)
Archive of Numerical Software     Open Access  
Archives of Computational Methods in Engineering     Hybrid Journal   (Followers: 5)
Arkiv för Matematik     Hybrid Journal   (Followers: 1)
Armenian Journal of Mathematics     Open Access  
Arnold Mathematical Journal     Hybrid Journal   (Followers: 1)
Artificial Satellites : The Journal of Space Research Centre of Polish Academy of Sciences     Open Access   (Followers: 20)
Asia-Pacific Journal of Operational Research     Hybrid Journal   (Followers: 3)
Asian Journal of Algebra     Open Access   (Followers: 1)
Asian Journal of Current Engineering & Maths     Open Access  
Asian-European Journal of Mathematics     Hybrid Journal   (Followers: 2)
Australian Mathematics Teacher, The     Full-text available via subscription   (Followers: 6)
Australian Primary Mathematics Classroom     Full-text available via subscription   (Followers: 4)
Australian Senior Mathematics Journal     Full-text available via subscription   (Followers: 1)
Automatic Documentation and Mathematical Linguistics     Hybrid Journal   (Followers: 5)
Axioms     Open Access   (Followers: 1)
Baltic International Yearbook of Cognition, Logic and Communication     Open Access   (Followers: 1)
Basin Research     Hybrid Journal   (Followers: 5)
BIBECHANA     Open Access   (Followers: 2)
BIT Numerical Mathematics     Hybrid Journal  
BoEM - Boletim online de Educação Matemática     Open Access  
Boletim Cearense de Educação e História da Matemática     Open Access  
Boletim de Educação Matemática     Open Access  
Boletín de la Sociedad Matemática Mexicana     Hybrid Journal  
Bollettino dell'Unione Matematica Italiana     Full-text available via subscription   (Followers: 1)
British Journal of Mathematical and Statistical Psychology     Full-text available via subscription   (Followers: 20)
Bruno Pini Mathematical Analysis Seminar     Open Access  
Buletinul Academiei de Stiinte a Republicii Moldova. Matematica     Open Access   (Followers: 12)
Bulletin des Sciences Mathamatiques     Full-text available via subscription   (Followers: 4)
Bulletin of Dnipropetrovsk University. Series : Communications in Mathematical Modeling and Differential Equations Theory     Open Access   (Followers: 1)
Bulletin of Mathematical Sciences     Open Access   (Followers: 1)
Bulletin of Symbolic Logic     Full-text available via subscription   (Followers: 2)
Bulletin of the Australian Mathematical Society     Full-text available via subscription   (Followers: 1)
Bulletin of the Brazilian Mathematical Society, New Series     Hybrid Journal  
Bulletin of the London Mathematical Society     Hybrid Journal   (Followers: 4)
Bulletin of the Malaysian Mathematical Sciences Society     Hybrid Journal  
Calculus of Variations and Partial Differential Equations     Hybrid Journal  
Canadian Journal of Science, Mathematics and Technology Education     Hybrid Journal   (Followers: 19)
Carpathian Mathematical Publications     Open Access   (Followers: 1)
Catalysis in Industry     Hybrid Journal   (Followers: 1)
CEAS Space Journal     Hybrid Journal   (Followers: 2)
CHANCE     Hybrid Journal   (Followers: 5)
Chaos, Solitons & Fractals     Hybrid Journal   (Followers: 3)
ChemSusChem     Hybrid Journal   (Followers: 7)
Chinese Annals of Mathematics, Series B     Hybrid Journal  
Chinese Journal of Catalysis     Full-text available via subscription   (Followers: 2)
Chinese Journal of Mathematics     Open Access  
Clean Air Journal     Full-text available via subscription   (Followers: 1)
Cogent Mathematics     Open Access   (Followers: 2)
Cognitive Computation     Hybrid Journal   (Followers: 4)
Collectanea Mathematica     Hybrid Journal  
COMBINATORICA     Hybrid Journal  
Combinatorics, Probability and Computing     Hybrid Journal   (Followers: 4)
Combustion Theory and Modelling     Hybrid Journal   (Followers: 14)
Commentarii Mathematici Helvetici     Hybrid Journal   (Followers: 1)
Communications in Combinatorics and Optimization     Open Access  
Communications in Contemporary Mathematics     Hybrid Journal  
Communications in Mathematical Physics     Hybrid Journal   (Followers: 2)
Communications On Pure & Applied Mathematics     Hybrid Journal   (Followers: 3)
Complex Analysis and its Synergies     Open Access   (Followers: 2)
Complex Variables and Elliptic Equations: An International Journal     Hybrid Journal  
Complexus     Full-text available via subscription  
Composite Materials Series     Full-text available via subscription   (Followers: 8)
Compositio Mathematica     Full-text available via subscription   (Followers: 1)
Comptes Rendus Mathematique     Full-text available via subscription   (Followers: 1)
Computational and Applied Mathematics     Hybrid Journal   (Followers: 2)
Computational and Mathematical Methods in Medicine     Open Access   (Followers: 2)
Computational and Mathematical Organization Theory     Hybrid Journal   (Followers: 2)
Computational Complexity     Hybrid Journal   (Followers: 4)
Computational Mathematics and Modeling     Hybrid Journal   (Followers: 8)
Computational Mechanics     Hybrid Journal   (Followers: 5)
Computational Methods and Function Theory     Hybrid Journal  
Computational Optimization and Applications     Hybrid Journal   (Followers: 7)
Computers & Mathematics with Applications     Full-text available via subscription   (Followers: 8)
Concrete Operators     Open Access   (Followers: 5)
Confluentes Mathematici     Hybrid Journal  
Contributions to Game Theory and Management     Open Access  
COSMOS     Hybrid Journal  
Cryptography and Communications     Hybrid Journal   (Followers: 13)
Cuadernos de Investigación y Formación en Educación Matemática     Open Access  
Cubo. A Mathematical Journal     Open Access  
Current Research in Biostatistics     Open Access   (Followers: 9)
Czechoslovak Mathematical Journal     Hybrid Journal   (Followers: 1)
Demographic Research     Open Access   (Followers: 11)
Demonstratio Mathematica     Open Access  
Dependence Modeling     Open Access  
Design Journal : An International Journal for All Aspects of Design     Hybrid Journal   (Followers: 29)
Developments in Clay Science     Full-text available via subscription   (Followers: 1)
Developments in Mineral Processing     Full-text available via subscription   (Followers: 3)
Dhaka University Journal of Science     Open Access  
Differential Equations and Dynamical Systems     Hybrid Journal   (Followers: 3)
Differentsial'nye Uravneniya     Open Access  
Discrete Mathematics     Hybrid Journal   (Followers: 8)
Discrete Mathematics & Theoretical Computer Science     Open Access  
Discrete Mathematics, Algorithms and Applications     Hybrid Journal   (Followers: 2)
Discussiones Mathematicae - General Algebra and Applications     Open Access  
Discussiones Mathematicae Graph Theory     Open Access   (Followers: 1)
Diskretnaya Matematika     Full-text available via subscription  
Dnipropetrovsk University Mathematics Bulletin     Open Access  
Doklady Akademii Nauk     Open Access  
Doklady Mathematics     Hybrid Journal  
Duke Mathematical Journal     Full-text available via subscription   (Followers: 1)
Eco Matemático     Open Access  
Edited Series on Advances in Nonlinear Science and Complexity     Full-text available via subscription  
Electronic Journal of Combinatorics     Open Access  
Electronic Journal of Differential Equations     Open Access  
Electronic Journal of Graph Theory and Applications     Open Access   (Followers: 2)
Electronic Notes in Discrete Mathematics     Full-text available via subscription   (Followers: 2)
Elemente der Mathematik     Full-text available via subscription   (Followers: 4)
Energy for Sustainable Development     Hybrid Journal   (Followers: 9)

        1 2 3 4 | Last

Journal Cover
Differential Equations and Dynamical Systems
Journal Prestige (SJR): 0.306
Citation Impact (citeScore): 1
Number of Followers: 3  
  Hybrid Journal Hybrid journal (It can contain Open Access articles)
ISSN (Print) 0974-6870 - ISSN (Online) 0971-3514
Published by Springer-Verlag Homepage  [2350 journals]
  • A New Two-Level Implicit Scheme for the System of 1D Quasi-Linear
           Parabolic Partial Differential Equations Using Spline in Compression
    • Authors: R. K. Mohanty; Sachin Sharma; Swarn Singh
      Abstract: In this article, we proposed a new two-level implicit method of accuracy two in time and four in space based on spline in compression approximations using two half-step points and a central point on a uniform mesh for the numerical solution of the system of 1D quasi-linear parabolic partial differential equations subject to appropriate initial and natural boundary conditions prescribed. The proposed method is derived directly from the continuity condition of the first order derivative of the non-polynomial compression spline function. The stability analysis for a model problem is discussed. The method is directly applicable to problems in polar systems. To demonstrate the strength and utility of the proposed method, we have solved generalized Burgers–Huxley equation, generalized Burgers–Fisher equation, coupled Burgers-equations and parabolic equations with singular coefficients. We show that the proposed method enables us to obtain high accurate solution for high Reynolds number.
      PubDate: 2018-05-31
      DOI: 10.1007/s12591-018-0427-5
  • Semilinear Conformable Fractional Differential Equations in Banach Spaces
    • Authors: Anjali Jaiswal; D. Bahuguna
      Abstract: We introduce the concept of a mild solution of conformable fractional abstract initial value problem. We establish the existence and uniqueness theorem using the contraction principle. As a regularity result for a linear problem, we show that the mild solution is in fact a strong solution. We give an example to demonstrate the applicability of the established theoretical results.
      PubDate: 2018-05-28
      DOI: 10.1007/s12591-018-0426-6
  • Dynamical Model of Epidemic Along with Time Delay; Holling Type II
           Incidence Rate and Monod–Haldane Type Treatment Rate
    • Authors: Abhishek Kumar; Nilam
      Abstract: The present study aims to control the infectious diseases and epidemics in the human population. Therefore, in the present article, we have proposed a delayed SIR epidemic model along with Holling type II incidence rate and treatment rate as Monod–Haldane type. Model stability has been established in the three regions of the basic reproduction number \( {\text{R}}_{0} \) i.e. \( {\text{R}}_{0} \) equals to one, greater than one and less than one. The model is locally asymptotically stable for disease-free equilibrium \( {\text{Q}} \) when the basic reproduction number \( {\text{R}}_{0} \) is less than one ( \( {\text{R}}_{0} < 1) \) and unstable when \( {\text{R}}_{0} > 1 \) for time lag \( \tau \ge 0 \) . We investigated the stability of the model for disease-free equilibrium at \( {\text{R}}_{0} \) equals to one using central manifold theory. Using center manifold theory, we proved that at \( {\text{R}}_{0} = 1 \) , disease-free equilibrium changes its stability from stable to unstable. We also investigated the stability for endemic equilibrium \( {\text{Q}}^{ *} \) for time lag \( \tau \ge 0 \) . Further, numerical simulations are presented to exemplify the analytical studies.
      PubDate: 2018-05-10
      DOI: 10.1007/s12591-018-0424-8
  • Necessary and Sufficient Conditions for Oscillation of a Class of Second
           Order Impulsive Systems
    • Authors: A. K. Tripathy; S. S. Santra
      Abstract: In this work, necessary and sufficient conditions for the oscillation of a class of second order neutral impulsive systems are established.
      PubDate: 2018-05-09
      DOI: 10.1007/s12591-018-0425-7
  • Multiple solutions for a class of nonhomogeneous fourth-order quasilinear
           equations with nonlinearities
    • Authors: Belal Almuaalemi; Haibo Chen; Sofiane Khoutir
      Abstract: In this paper, we concern with the following nonhomogeneous fourth-order quasilinear equations of the form $$\begin{aligned} \Delta ^2u - \Delta u+V(x)u -\frac{k}{2} \Delta (u)^2u = f(x,u)+h(x) ,\quad x\in \mathbb {R}^{N}, \end{aligned}$$ where \(\Delta ^2 :=\Delta (\Delta )\) is the biharmonic operator, \(k \ge 0\) , \(N \le 6\) , \(V\in C(\mathbb {R}^{N},\mathbb {R})\) , \(f\in C(\mathbb {R}^{N}\times \mathbb {R},\mathbb {R})\) and \(h(x) \in L^2(\mathbb {R}^{N})\) . Under some relaxed assumptions on the nonlinear term f, a new result of multiple nontrivial solutions is obtained via the Ekeland’s variational principle and the mountain pass theorem.
      PubDate: 2018-05-04
      DOI: 10.1007/s12591-018-0421-y
  • Estimates of Size of Cycle in a Predator-Prey System
    • Authors: Niklas L. P. Lundström; Gunnar Söderbacka
      Abstract: We consider a Rosenzweig–MacArthur predator-prey system which incorporates logistic growth of the prey in the absence of predators and a Holling type II functional response for interaction between predators and preys. We assume that parameters take values in a range which guarantees that all solutions tend to a unique limit cycle and prove estimates for the maximal and minimal predator and prey population densities of this cycle. Our estimates are simple functions of the model parameters and hold for cases when the cycle exhibits small predator and prey abundances and large amplitudes. The proof consists of constructions of several Lyapunov-type functions and derivation of a large number of non-trivial estimates which are of independent interest.
      PubDate: 2018-05-03
      DOI: 10.1007/s12591-018-0422-x
  • Nonlocal Integro-Differential Equations Without the Assumption of
           Equicontinuity on the Resolvent Operator in Banach Spaces
    • Authors: Khalil Ezzinbi; Mohamed Ziat
      Abstract: In this work, we study the existence of mild solutions for the nonlocal integro-differential equation $$\begin{aligned} \left\{ \begin{array}{l} x'(t)=Ax(t)+\displaystyle \int _{0}^{t}B(t-s)x(s)\text {d}s+f(t,x_{t})\quad \text {for}\;\; t\in [0,b]\\ x_{0}=\phi +g(x)\in C([-r,0];X), \end{array} \right. \end{aligned}$$ without the assumption of equicontinuity on the resolvent operator and without the assumption of separability on the Banach space X. The nonlocal initial condition is assumed to be compact. Our main result is new and its proof is based on a measure of noncompactness developed in Kamenskii et al. (Condensing multivalued maps and semilinear differential inclusions in Banach spaces. Walter De Gruyter, Berlin, 2001) together with the well-known Mönch fixed point Theorem. To illustrate our result, we provide an example in which the resolvent operator is not equicontinuous.
      PubDate: 2018-04-27
      DOI: 10.1007/s12591-018-0423-9
  • Epsilon-Equicontinuous Points and Epsilon-Shadowable Points
    • Authors: Ali Barzanouni
      Abstract: Let \(f:X\rightarrow X\) be a continuous map on a compact metric space (X, d) with no isolated points. We introduce the concept of \(\epsilon \) -equicontinuous point in (X, f), indeed a point \(x\in X\) , is called \(\epsilon \) -equicontinuous point, \(x\in Eq_{\epsilon }(f)\) , if there exists \(\delta > 0\) such that \(diam(f^{n}(B(x, \delta )))\le \epsilon \) for every \(n\in {\mathbb {Z}}_+\) We give a system (X, f) such that for every \(\epsilon >0\) , \(Eq_{\epsilon }(f)\ne \emptyset \) but f has no equicontinuous point. Next, we study its basic properties and compare some property of \(\epsilon \) -equicontinuous points in (X, f) with those in two related dynamical systems, inverse limit space ( \(\lim _{\leftarrow }(X,f), \sigma _{f})\) and hyper space \((2^{X}, 2^{f})\) . It is known that a topologically transitive with equicontinuity points is uniformly rigid, we give an \(\epsilon \) version of that result. We also introduce the concept \(\epsilon \) -chain continuity points and study relation between \(\epsilon \) -chain continuity points and two concepts \(\epsilon \) -shadowable points and \(\epsilon \) -equicontinuous points.
      PubDate: 2018-04-26
      DOI: 10.1007/s12591-018-0418-6
  • Application of Homotopy Perturbation Method Using Laplace Transform
           Intended for Determining the Temperature in the Heterogeneous
           Casting-Mould System
    • Authors: Rajnee Tripathi; Hradyesh Kumar Mishra
      Abstract: In this article, we established an application of homotopy perturbation method using Laplace transform (LT-HPM) to elaborate the analytical solution of heat conduction equation in the heterogeneous casting-mould system. The solution of the problem is provided with our supposition of an ideal contact between the cast and the mould. In the proposed method, we have chosen initial approximations of unknown constants which can be implemented by imposing the boundary and initial conditions. Examples have been discussed and confirmed the usefulness of this method.
      PubDate: 2018-04-21
      DOI: 10.1007/s12591-018-0417-7
  • Mathematical Modeling for the Prevention of Methanol Poisoning Through
           Ethanol by Impulsive Way
    • Authors: Priyanka Ghosh; Xianbing Cao; Joydeep Pal; Sonia Chowdhury; Shubhankar Saha; Sumit Nandi; Priti Kumar Roy
      Abstract: Methanol (MeOH) poisoning is a burning issue mostly for the third world country. Toxic methanol is the major compound in impure alcohol when consumed. It causes severe health hazards and sometimes causes death. Methanol when breakdowns into formate in the presence of alcohol dehydrogenase enzymes in human liver, it becomes toxic. This enzyme catalyzes the substrate (MeOH) to produce toxic metabolites (i.e. formate). In methanol toxicity, ethanol is suggested to inhibit the metabolism of methanol as antidote. This is the most common treatment for averting toxicity of methanol in clinics. Based on the chemical kinetics of the reaction, we formulate a mathematical model for the treatment of methanol toxicity with the effects of a constant competitive substrate input (ethanol). Our mathematical study is revealed the dosing policy for administering ethanol as antidote for morbid intoxicated patient. We also find the minimal time interval of the antidote dosing which stops the harmful reaction in treated patient. Numerical simulation of the nonlinear model has confirmed our analytical studies.
      PubDate: 2018-04-19
      DOI: 10.1007/s12591-018-0420-z
  • Polynomial Decay of Mild Solutions to Semilinear Fractional Differential
           Equations with Nonlocal Initial Conditions
    • Authors: Vu Trong Luong; Do Van Loi; Hoang Nam
      Abstract: This paper deals with a class of two-term time fractional differential equations with nonlocal initial conditions. We establish the existence of mild solutions with explicit decay rate of polynomial type. To illustrate the abstract results, an example is also given.
      PubDate: 2018-04-17
      DOI: 10.1007/s12591-018-0419-5
  • On the Existence of Approximate Solution of Fredholm Integral Equation of
           the First Kind by Band-Limited Scaling Function
    • Authors: Gopal Priyadarshi; B. V. Rathish Kumar
      Abstract: In this paper, we study the existence and uniqueness of the solution of Fredholm integral equation of the first kind with convolution type kernel. These results are based on band-limited scaling function which is generated by a class of band-limited wavelets. Since these band-limited functions are infinitely differentiable and possess rapid decay property, methods based on these functions would be highly accurate. Finally, convergence analysis has been discussed to validate the approximate solution.
      PubDate: 2018-04-07
      DOI: 10.1007/s12591-018-0416-8
  • From Backward Approximations to Lagrange Polynomials in Discrete
           Advection–Reaction Operators
    • Authors: Francisco J. Solis; Ignacio Barradas; Daniel Juarez
      Abstract: In this work we introduce a family of operators called discrete advection–reaction operators. These operators are important on their own right and can be used to efficiently analyze the asymptotic behavior of a finite differences discretization of variable coefficient advection–reaction–diffusion partial differential equations. They consists of linear bidimensional discrete dynamical systems defined in the space of real sequences. We calculate explicitly their asymptotic evolution by means of a matrix representation. Finally, we include the special case of matrices with different eigenvalues to show the connection between the operators evolution and interpolation theory.
      PubDate: 2018-04-02
      DOI: 10.1007/s12591-018-0415-9
  • A PDE Based Image Segmentation Using Fourier Spectral Method
    • Authors: Rowthu Vijayakrishna; B. V. Rathish Kumar; Abdul Halim
      Abstract: A PDE based binary image segmentation model using a modified Cahn–Hilliard equation with weaker fidelity parameter ( \(\lambda \) ) and double well potential has been introduced. The threshold of separation \(\gamma \) is flexibly chosen between 0 and 1. Convexity splitting is used for time discretization and then Fourier-spectral method is used to solve the proposed modified Cahn–Hilliard equation. The proposed model is tested on bio-medical images.
      PubDate: 2018-03-15
      DOI: 10.1007/s12591-018-0414-x
  • A New Version of the Energy of Tangent Indicatrix with Dynamics System in
           Lie Group
    • Authors: Talat Körpınar
      Abstract: In this work, we construct energy of the moving particle on tangent spherical images in diverse force fields on dynamical and electrodynamical devices by way of Newtonian mechanics. We work with both physical but even more major geometrical strategy meant for the calculation concerning the energy on the moving particle in these types of force fields. We demonstrate that energy on the moving charged particle or energy on a massive body that follows a trajectory of a moving particle can be characterized by intrinsic geometric highlights of tangent spherical images. We likewise associate the connection among energy in moving particle for the distinct category of force fields.
      PubDate: 2018-03-05
      DOI: 10.1007/s12591-018-0413-y
  • Asymptotic Integration of Certain Volterra Integro-Differential Equations
           with Oscillatory Decreasing Kernels
    • Authors: Pavel Nesterov
      Abstract: We construct the asymptotics for solutions of two second-order integro-differential equations of Volterra type as independent variable tends to infinity. These equations are considered as integral perturbations of the harmonic oscillator. The specific feature of the considered integral perturbations is an oscillatory decreasing character of their kernels. To obtain the asymptotic formulas we use the special method proposed for the asymptotic integration of the linear dynamical systems with oscillatory decreasing coefficients. The method uses the ideas of the averaging theory and some known asymptotic theorems.
      PubDate: 2018-03-01
      DOI: 10.1007/s12591-018-0412-z
  • Existence of Mild Solution for Mixed Volterra–Fredholm Integro
           Fractional Differential Equation with Non-instantaneous Impulses
    • Authors: Jayanta Borah; Swaroop Nandan Bora
      Abstract: We establish a set of sufficient conditions for the existence of mild solution of a class of fractional mixed integro differential equation with not instantaneous impulses. The results are obtained by establishing two theorems by using semigroup theory, Banach fixed point theorem and Krasnoselskii’s fixed point theorem. Two examples are presented to validate the results of the theorems.
      PubDate: 2018-02-12
      DOI: 10.1007/s12591-018-0410-1
  • Existence and Uniqueness of Solutions for a Nonlinear Coupled System of
           Fractional Differential Equations on Time Scales
    • Authors: Sabbavarapu Nageswara Rao
      Abstract: In this paper, we establish the criteria for the existence and uniqueness of solutions of a two-point BVP for a system of nonlinear fractional differential equations on time scales. $$\begin{aligned} \begin{aligned} \Delta _{a^{\star }}^{\alpha _{1}-1}x(t)&=f_{1}(t, x(t), y(t)),\quad t\in J:=[a,b]\cap \mathbb {T},\\ \Delta _{a^{\star }}^{\alpha _{2}-1}y(t)&=f_{2}(t, x(t), y(t)),\quad t\in J:=[a,b]\cap \mathbb {T},\\ \end{aligned} \end{aligned}$$ subject to the boundary conditions $$\begin{aligned} \begin{aligned} x(a)=0,&\quad x^{\Delta }(b)=0,\quad x^{\Delta \Delta }(b)=0,\\ y(a)=0,&\quad y^{\Delta }(b)=0,\quad y^{\Delta \Delta }(b)=0. \end{aligned} \end{aligned}$$ where \(\mathbb {T}\) is any time scale (nonempty closed subsets of the reals), \(2<\alpha _{i}<3\) and \(f_{i}\in C_{rd}([a,b]\times \mathbb {R}\times \mathbb {R}, \mathbb {R})\) and \(\Delta _{a^{\star }}^{\alpha _{i}-1}\) denotes the delta fractional derivative on time scales \(\mathbb {T}\) of order \(\alpha _{i}-1\) for \(i=1, 2\) . By using the Banach contraction principle. Finally, an example is given to illustrate the main result.
      PubDate: 2018-02-09
      DOI: 10.1007/s12591-018-0409-7
  • Global Stability of an SIS Epidemic Model with Age of Vaccination
    • Authors: Shihua Zhang; Rui Xu
      Abstract: In this paper, an SIS epidemic model with age of vaccination is investigated. Asymptotic smoothness of the semi-flow is proved. By analyzing the corresponding characteristic equations, the local stability of a disease-free steady state and an endemic steady state is discussed. It is shown that if the basic reproduction number is greater than unity, the system is permanent. By constructing two Lyapunov functionals, it is proved that the endemic steady state is globally asymptotically stable if the basic reproduction number is greater than unity, and sufficient conditions are derived for the global asymptotic stability of the disease-free steady state. Numerical simulations are given to illustrate the asymptotic stabilities of the disease-free steady state and endemic state.
      PubDate: 2018-02-09
      DOI: 10.1007/s12591-018-0408-8
  • An Entropy Generation on Viscous Fluid in the Inclined Deformable Porous
    • Authors: G. Gopi Krishna; S. Sreenadh; A. N. S. Srinivas
      Abstract: The present investigation deals with the flow of a viscous fluid in an inclined deformable porous layer bounded by rigid plates. The lower and upper moving plates are maintained at constant different temperatures. A heat source of strength \(Q_0 \) is introduced in the porous layer. The coupled phenomenon of the fluid movement and solid deformation in the porous layer has been considered. An exact solution of governing equations has been obtained in closed form. The expressions for the fluid velocity, solid displacement and temperature distribution are obtained. The influence of pertinent parameters on flow quantities is discussed. In the inclined deformable porous medium, it is observed that the fluid velocity and temperature decreases with increasing viscous drag \(\delta \) . But the solid displacement increases with increasing viscous drag \(\delta \) . A table of comparison is made for flux in the present work and that of flux observed by Nield et al. (Transp Porous Media 56:351–367, 2004) for viscous flow in a horizontal undeformable porous medium. One of the important observations is that the volume flow rate is less for deformable porous media when compared with undeformable (rigid) porous media. The present result coincides with the findings of Nield et al. (2004). The results obtained for the present flow characteristics reveal many interesting behaviors that warrant further study of viscous fluid flow in an inclined deformable porous media.
      PubDate: 2018-02-08
      DOI: 10.1007/s12591-018-0411-0
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