International Journal of Mathematical Modelling & ComputationsInternational Journal of Mathematical Modelling & Computations
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Feed provided by International Journal of Mathematical Modelling & Computations. Click to visit.Using Radial Basis Functions for Numerical Solving Two-Dimensional Voltrra Linear Functional ...
http://ijm2c.iauctb.ac.ir/article_673904_1134316.html
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 dened, and nally thetarget function will be approximated. In the end, the validity of the method is shown by anumber of examples.Sat, 29 Feb 2020 20:30:00 +0100(m1,m2)-AG-Convex Functions and Some New Inequalities
http://ijm2c.iauctb.ac.ir/article_673905_1134316.html
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.Sat, 29 Feb 2020 20:30:00 +0100Cascade of Fractional Differential Equations and Generalized Mittag-Leffler Stability
http://ijm2c.iauctb.ac.ir/article_673907_1134316.html
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.Sat, 29 Feb 2020 20:30:00 +0100Solving Fuzzy Impulsive Fractional Differential Equations by Reproducing Kernel Hilbert Space Method
http://ijm2c.iauctb.ac.ir/article_673908_1134316.html
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.Sat, 29 Feb 2020 20:30:00 +0100Hermite-Hadamard Type Inequalities for MφA-Convex Functions
http://ijm2c.iauctb.ac.ir/article_673906_1134316.html
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.Sat, 29 Feb 2020 20:30:00 +0100Permanence and Uniformly Asymptotic Stability of Almost Periodic Positive Solutions for a ...
http://ijm2c.iauctb.ac.ir/article_673909_1134316.html
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.Sat, 29 Feb 2020 20:30:00 +0100