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MATHEMATICS (706 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: 3)
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: 27)
Acta Applicandae Mathematicae     Hybrid Journal   (Followers: 1)
Acta Mathematica     Hybrid Journal   (Followers: 11)
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: 9)
Advances in Applied Clifford Algebras     Hybrid Journal   (Followers: 3)
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: 6)
Advances in Computational Mathematics     Hybrid Journal   (Followers: 18)
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: 2)
Advances in Materials Sciences     Open Access   (Followers: 14)
Advances in Mathematical Physics     Open Access   (Followers: 3)
Advances in Mathematics     Full-text available via subscription   (Followers: 10)
Advances in Numerical Analysis     Open Access   (Followers: 4)
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: 5)
Advances in Science and Research (ASR)     Open Access   (Followers: 4)
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  
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)
American Mathematical Monthly     Full-text available via subscription   (Followers: 6)
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: 4)
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: 3)
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  
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: 1)
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: 6)
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: 1)
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: 21)
Bruno Pini Mathematical Analysis Seminar     Open Access  
Buletinul Academiei de Stiinte a Republicii Moldova. Matematica     Open Access   (Followers: 11)
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: 18)
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  
College Mathematics Journal     Full-text available via subscription   (Followers: 4)
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: 12)
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: 10)
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 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)

        1 2 3 4 | Last

Journal Cover Differential Equations and Dynamical Systems
  [SJR: 0.475]   [H-I: 9]   [3 followers]  Follow
   Hybrid Journal Hybrid journal (It can contain Open Access articles)
   ISSN (Print) 0974-6870 - ISSN (Online) 0971-3514
   Published by Springer-Verlag Homepage  [2352 journals]
  • Existence and Regularity of q-Mild Solutions to Fractional Evolution
           Equations with Noncompact Semigroups
    • Authors: Jia Mu; Shuibo Huang; Ling Guo
      Pages: 3 - 14
      Abstract: We discuss the existence and regularity of solutions to some fractional evolution equations in the q-norm. The linear part generates a noncompact semigroup, and the nonlinear part satisfies some conditions with respect to the fractional power norm of the linear part. In the end, we apply the obtained results to a control system.
      PubDate: 2018-01-01
      DOI: 10.1007/s12591-016-0337-3
      Issue No: Vol. 26, No. 1-3 (2018)
  • Existence, Global Continuation and Regularity in the $$\alpha $$ α -Norm
           for Some Partial Functional Integrodifferential Equations with Infinite
    • Authors: Boubacar Diao; Khalil Ezzinbi; Mamadou Sy
      Pages: 37 - 55
      Abstract: The aim of this work, is to study the existence and regularity of mild solutions for a class of abstract partial functional integrodifferential equations with infinite delay under the alpha-norm. We assume that the linear part generates an analytic semigroup, the nonlinear part is assumed to be continuous with respect to the alpha norm associated to the linear part. The phase espace is axiomatically defined. In the end, an illustration is proveded for some reaction-diffusion equation with infinite delay.
      PubDate: 2018-01-01
      DOI: 10.1007/s12591-016-0315-9
      Issue No: Vol. 26, No. 1-3 (2018)
  • Delayed Model for HIV Infection with Drug Effects
    • Authors: Saroj Kumar Sahani; Yashi
      Pages: 57 - 80
      Abstract: Delayed models are a better representation of the nature of HIV. In the present paper, a multi-delayed model of HIV with combination drug therapy has been analysed. Effect of the immune response in the form of effector cell response has also been included to make the model more justified. The threshold properties related with the basic reproduction number \(R_0\) have been discussed. The local and global properties of the model have been analysed. Extensive numerical simulations have been performed to show the impact of highly effective drug on the concentration of virus. The numerical simulations and the result proved has led to the conclusion that a highly effective drug when combined with a less effective drug, can very efficiently bring down the viral load to undetectable levels.
      PubDate: 2018-01-01
      DOI: 10.1007/s12591-016-0341-7
      Issue No: Vol. 26, No. 1-3 (2018)
  • Time Varying Stimulations in Simple Neural Networks and Convergence to
           Desired Outputs
    • Authors: V. Sree Hari Rao; P. Raja Sekhara Rao
      Pages: 81 - 104
      Abstract: The influence of time varying inputs on a two layer neural network involving transmission delays is studied in this paper. The asymptotic behavior of solutions of the system is studied for a variety of input functions. Conditions for solutions of a system with time varying inputs to approach the solutions (including equilibrium solutions) of the corresponding system with constant inputs are derived. This explains how a system tolerates variations in external inputs. Most important contribution of the study is that conditions on the inputs of the system are derived so that solutions of the system converge to a pre-specified output. The usefulness of the results is highlighted through examples and simulations. This research provides a thorough mathematical support for an upcoming technology that enables one to build intelligent machines with more sophisticated learning capabilities.
      PubDate: 2018-01-01
      DOI: 10.1007/s12591-016-0312-z
      Issue No: Vol. 26, No. 1-3 (2018)
  • A Family of Compact Finite Difference Formulations for Three-Space
           Dimensional Nonlinear Poisson’s Equations in Cartesian Coordinates
    • Authors: Navnit Jha; Venu Gopal; Bhagat Singh
      Pages: 105 - 123
      Abstract: In this article, a family of high order accurate compact finite difference scheme for obtaining the approximate solution values of mildly nonlinear elliptic boundary value problems in three-space dimensions has been developed. The discretization formula is developed on a non-uniform meshes, which helps in resolving boundary and/or interior layers. The scheme involves 27 points single computational cell to achieve high order truncation errors. The proposed scheme has been applied to solve convection–diffusion equation, Helmholtz equation and nonlinear Poisson’s equation. A detailed convergence theory for the new compact scheme has been proposed using irreducible and monotone property of the iteration matrix. Numerical results show that the new compact scheme exhibit better performance in terms of \(l^\infty \) - and \(l^2\) -error of the exact and approximate solution values.
      PubDate: 2018-01-01
      DOI: 10.1007/s12591-016-0314-x
      Issue No: Vol. 26, No. 1-3 (2018)
  • Different Generalized Synchronization Schemes Between Integer-Order and
           Fractional-Order Chaotic Systems with Different Dimensions
    • Authors: Adel Ouannas; Abdulrahman Karouma
      Pages: 125 - 137
      Abstract: This paper addresses the problem of generalized synchronization (GS) between different dimensional integer-order and fractional-order chaotic systems. Based on the stability theory of linear continuous time dynamical systems, stability results of linear fractional order systems and nonlinear controllers, different criterions are derived to achieve generalized synchronization. The effectiveness of the proposed control schemes are verified by considering two examples: fractional-order chaotic Lorenz and hyperchaotic Lorenz systems and hyperchaotic Chen and fractional-order chaotic Chen systems.
      PubDate: 2018-01-01
      DOI: 10.1007/s12591-016-0317-7
      Issue No: Vol. 26, No. 1-3 (2018)
  • Measure of Noncompactness and Partial Functional Differential Equations
           with State-Dependent Delay
    • Authors: Mouffak Benchohra; Imene Medjadj
      Pages: 139 - 155
      Abstract: Our aim in this work is to study the existence of solutions of first and second order functional differential equations with state-dependent delay. We use the Mönch’s fixed point theorem for the existence of solutions and the concept of measures of noncompactness.
      PubDate: 2018-01-01
      DOI: 10.1007/s12591-016-0325-7
      Issue No: Vol. 26, No. 1-3 (2018)
  • Impulsive Effect on Tri-Trophic Food Chain Model with Mixed Functional
           Responses under Seasonal Perturbations
    • Authors: Chandrima Banerjee; Pritha Das
      Pages: 157 - 176
      Abstract: In this paper, dynamical effect of seasonal variations and impulsive perturbations on a hybrid tri-trophic food chain model has been investigated. In this model mixed functional responses (Holling type-II and modified Leslie–Gower type) are considered. Using Floquet theory and small amplitude perturbation techniques, it is found that a prey and middle predator free periodic solution is globally asymptotically stable if the impulsive period lies in between two critical values. Further, using comparison results of impulsive differential inequalities, it is derived that the model system is permanent under certain conditions. Moreover, the model system is simulated numerically to find the influence of the seasonal forcing and impulsive perturbation. Complex dynamical behavior has been observed for biologically feasible parametric values.
      PubDate: 2018-01-01
      DOI: 10.1007/s12591-016-0328-4
      Issue No: Vol. 26, No. 1-3 (2018)
  • Periodic Solutions for Some Nondensely Nonautonomous Partial Functional
           Differential Equations in Fading Memory Spaces
    • Authors: Moussa El-Khalil Kpoumiè; Khalil Ezzinbi; David Békollè
      Pages: 177 - 197
      Abstract: The aim of this work is to study the existence of a periodic solution for some nondensely nonautonomous partial functional differential equations with infinite delay in Banach spaces. We assume that the linear part is not necessarily densely defined and generates an evolution family. We use Massera’s approach (Duke Math 17:457–475, 1950), we prove that the existence of a bounded solution on \(\mathbb {R}^{+}\) implies the existence of an \(\omega \) -periodic solution. In nonlinear case, we use a fixed point for multivalued maps to show the existence of a periodic solution. Finally, we consider a reaction diffusion equation with delay to illustrate the main results of this work.
      PubDate: 2018-01-01
      DOI: 10.1007/s12591-016-0331-9
      Issue No: Vol. 26, No. 1-3 (2018)
  • The Analysis of Stochastic Lotka–Volterra Model in Polluted
    • Authors: Boqiang Cao; Xining Li; Qiang Li; Ying Zhang
      Pages: 199 - 212
      Abstract: Population systems often subject to both white noise and environment pollution, so a stochastic non-autonomous omnivory Lotka–Volterra model in a polluted environment is investigated in this paper. We establish the sufficient conditions for the existence of positive periodic solution and prove it by constructing Lyapunov function. According to Itô’s formula and the strong law of large numbers for martingales, we also discuss the extinction of population. The sufficient conditions for almost sure exponential stability of equilibrium point \(E^*(0,0,0,S^*,T^*)\) are obtained. Finally, we illustrate our results by some examples with the help of computer simulation.
      PubDate: 2018-01-01
      DOI: 10.1007/s12591-016-0334-6
      Issue No: Vol. 26, No. 1-3 (2018)
  • Biological Conservation of Living Systems by Providing Additional Food
           Supplements in the Presence of Inhibitory Effect: A Theoretical Study
           Using Predator–Prey Models
    • Authors: P. D. N. Srinivasu; D. K. K. Vamsi; I. Aditya
      Pages: 213 - 246
      Abstract: Ecological and biological conservation of living systems has been an active area of research over the years by agriculturalists, biologists and mathematicians. One of the studies involves additional food supplement feeding (also called as diversionary feeding) for the purpose of biological (wildlife in some cases) conservation. The idea in this approach is to distract (thereby supplement) the wildlife from predating upon the other species with the end goal of wildlife conservation. On the other hand in agricultural entomology, insect control and optimization, additional food is supplemented as a tool for effective pest control thereby achieving the biological control. The study of these ecosystems is usually done using the predator–prey systems. In nature, we find situations wherein the group defense (toxicity) of the prey reduces the predator’s predation rate. This type of behaviour of the prey is also known as inhibitory effect of the prey. Biological conservation of such predator prey systems in the presence of additional food supplements is quite challenging and interesting. In this paper, we consider an additional food provided predator–prey system which is a variation of the standard predator–prey model in the presence of the inhibitory effect of the prey. The predators functional response is assumed to be of Holling type IV (considering the inhibitory effect). This model is analyzed to understand the inherent dynamics of the system. The findings suggest that the quality and quantity of additional food provided to the predators, play a very significant role in determining the eventual state of the ecosystem. The outcomes of the analysis suggests eco friendly strategies to eco-managers for biological conservation of living systems.
      PubDate: 2018-01-01
      DOI: 10.1007/s12591-016-0344-4
      Issue No: Vol. 26, No. 1-3 (2018)
  • A Novel Fractional Microbial Batch Culture Process and Parameter
    • Authors: Pan Mu; Lei Wang; Yi An; Yanping Ma
      Pages: 265 - 277
      Abstract: This paper considers the microbial batch culture for producing 1,3-propanediol(1,3-PD) via glycerol disproportionation. Due to the nature of the fractional order operations, a novel fractional order model, which is based upon the original ordinary differential dynamic system, is introduced to describe the complex bioprocess in a more accurate manner. Existence and uniqueness of solutions to the novel fractional order system and the continuity of solutions with respect to the parameters are discussed respectively. In addition, a parameter identification problem of the system is presented, and a particle swarm optimization algorithm is constructed to solve it. Finally, the conclusion is drawn by numerical simulations.
      PubDate: 2018-01-01
      DOI: 10.1007/s12591-017-0381-7
      Issue No: Vol. 26, No. 1-3 (2018)
  • Numerical Solution of the Optimal Control for Fractional Order Singular
    • Authors: M. R. A. Moubarak; H. F. Ahmed; Omar Khorshi
      Pages: 279 - 291
      Abstract: This paper presents a method to solve numerically the linear quadratic optimal control problems (LQOCPs) of the fractional singular control systems with Caputo fractional derivatives. Under certain conditions on the singular fractional control systems, the problems under consideration are transformed into LQOCPs of the standard normal fractional control systems. Based on the Grunwald–Letnikov approximation (GLA) of the fractional derivatives (FDs), a numerical technique is used to solve the LQOCPs of the standard normal fractional control systems. An illustrative example is introduced to demonstrate the applicability of the proposed technique.
      PubDate: 2018-01-01
      DOI: 10.1007/s12591-016-0320-z
      Issue No: Vol. 26, No. 1-3 (2018)
  • 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
  • On Controllability of a Two-Dimensional Network of Ferromagnetic
           Ellipsoidal Samples
    • Authors: Shruti Dubey; Sharad Dwivedi
      Abstract: In this article, we address the problem of stability and controllability of two-dimensional network of ferromagnetic particles of ellipsoidal shapes. The dynamics of magnetization inside the ferromagnetic material is governed by the Landau–Lifschitz equation of micromagnetism which is non-linear and parabolic in nature. The control is the magnetic field generated by a dipole whose position and amplitude can be selected. In the absence of control, first we prove the exponential stability of the relevant configurations of the network. Then, we investigate the controllability by the means of external magnetic field induced by the magnetic dipole.
      PubDate: 2018-01-13
      DOI: 10.1007/s12591-018-0407-9
  • Editorial of Dynamical Systems, Control and Optimization
    • Authors: Changzhi Wu; Kok Lay Teo
      PubDate: 2018-01-06
      DOI: 10.1007/s12591-017-0406-2
  • Controllability of Stochastic Impulsive Neutral Functional Differential
           Equations Driven by Fractional Brownian Motion with Infinite Delay
    • Authors: A. Boudaoui; E. Lakhel
      Abstract: In this paper we study the controllability results of impulsive neutral stochastic functional differential equations with infinite delay driven by fractional Brownian motion in a real separable Hilbert space. The controllability results are obtained using stochastic analysis and a fixed-point strategy. Finally, an illustrative example is provided to demonstrate the effectiveness of the theoretical result.
      PubDate: 2017-11-05
      DOI: 10.1007/s12591-017-0401-7
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