List of Articles

• Open Access Article
  • Abstract Page
  • Full-Text
  
  1 - Using Radial Basis Functions for Numerical Solving Two-Dimensional Voltrra Linear Functional Integral Equations
  reza Firouzdor Neda Khaksary Atousa Emady
  This article is an attempt to obtain the numerical solution of functional linear Voltrra two-dimensional integral equations using Radial Basis Function (RBF) interpolation which isbased on linear composition of terms. By using RBF in functional integral equation, rst a More

  This article is an attempt to obtain the numerical solution of functional linear Voltrra two-dimensional integral equations using Radial Basis Function (RBF) interpolation which isbased on linear composition of terms. By using RBF in functional integral equation, rst alinear system 􀀀C = G will be achieved; then the coecients vector is dened, and nally thetarget function will be approximated. In the end, the validity of the method is shown by anumber of examples. Manuscript profile
• Open Access Article
  • Abstract Page
  • Full-Text
  
  2 - (m1,m2)-AG-Convex Functions and Some New Inequalities
  Mahir Kadakal
  In this manuscript, we introduce concepts of (m1,m2)-logarithmically convex (AG-convex) functions and establish some Hermite-Hadamard type inequalities of these classes of functions.

  In this manuscript, we introduce concepts of (m1,m2)-logarithmically convex (AG-convex) functions and establish some Hermite-Hadamard type inequalities of these classes of functions. Manuscript profile
• Open Access Article
  • Abstract Page
  • Full-Text
  
  3 - Cascade of Fractional Differential Equations and Generalized Mittag-Leffler Stability
  Ndolane Sene
  This paper address a new vision for the generalized Mittag-Leffler stability of the fractional differential equations. We mainly focus on a new method, consisting of decomposing a given fractional differential equation into a cascade of many sub-fractional differential More

  This paper address a new vision for the generalized Mittag-Leffler stability of the fractional differential equations. We mainly focus on a new method, consisting of decomposing a given fractional differential equation into a cascade of many sub-fractional differential equations. And we propose a procedure for analyzing the generalized Mittag-Leffler stability for the given fractional differential equation using the generalized Mittag-Leffler input stability of the sub-fractional differential equations. In other words, we prove a cascade of fractional differential equations, which are generalized Mittag-Leffler input stables and governed by a fractional differential equation, which is generalized Mittag-Leffler stable, is generalized Mittag-Leffler stable. We give Illustrative examples to illustrate our main results. Note in our paper; we use the generalized fractional derivative in Caputo-Liouville sense. Manuscript profile
• Open Access Article
  • Abstract Page
  • Full-Text
  
  4 - Solving Fuzzy Impulsive Fractional Differential Equations by Reproducing Kernel Hilbert Space Method
  nematallah najafi nader Biranvand
  The aim of this paper is to use the Reproducing kernel Hilbert Space Method (RKHSM) to solve the linear and nonlinear fuzzy impulsive fractional differential equations. Finding the numerical solutionsof this class of equations are a difficult topic to analyze. In this s More

  The aim of this paper is to use the Reproducing kernel Hilbert Space Method (RKHSM) to solve the linear and nonlinear fuzzy impulsive fractional differential equations. Finding the numerical solutionsof this class of equations are a difficult topic to analyze. In this study, convergence analysis, estimations error and bounds errors are discussed in detail under some hypotheses which provide the theoretical basis of the proposed algorithm. Some numerical examples indicate that this method is an efficient one to solve the mentioned equations. Manuscript profile
• Open Access Article
  • Abstract Page
  • Full-Text
  
  5 - Hermite-Hadamard Type Inequalities for MφA-Convex Functions
  Sercan Turhan Mehmet Kunt İmdat İşcan
  This article deals with the different classes of convexity and generalizations. Firstly, we reveal the new generalization of the definition of convexity that can reduce many order of convexity. We have showed features of algebra for this new convex function. Then after More

  This article deals with the different classes of convexity and generalizations. Firstly, we reveal the new generalization of the definition of convexity that can reduce many order of convexity. We have showed features of algebra for this new convex function. Then after we have constituted Hermite-Hadamard type inequalities for this class of functions. Finally the identity has been revealed for its by us and by using this identity, then theorems and corollaries have been obtained. Manuscript profile
• Open Access Article
  • Abstract Page
  • Full-Text
  
  6 - Permanence and Uniformly Asymptotic Stability of Almost Periodic Positive Solutions for a Dynamic Commensalism Model on Time Scales
  Mahammad Khuddush Kapula Rajendra Prasad K. V. Vidyasagar
  In this paper, we study dynamic commensalism model with nonmonotic functional response, density dependent birth rates on time scales and derive sufficient conditions for the permanence. We also establish the existence and uniform asymptotic stability of unique almost pe More

  In this paper, we study dynamic commensalism model with nonmonotic functional response, density dependent birth rates on time scales and derive sufficient conditions for the permanence. We also establish the existence and uniform asymptotic stability of unique almost periodic positive solution of the model by using Lyapunov functional method. Manuscript profile