A Reproducing Kernel Hilbert Space Method for Solving Systems of Fractional Integrodifferential Equations-Reference-Cited by-同舟云学术

A Reproducing Kernel Hilbert Space Method for Solving Systems of Fractional Integrodifferential Equations

Published:2014 Issue: Volume:2014 Page:1-6
ISSN:1085-3375
Container-title:Abstract and Applied Analysis
language:en
Short-container-title:Abstract and Applied Analysis

Author:

Bushnaq Samia¹,Maayah Banan²,Momani Shaher²³,Alsaedi Ahmed³

Affiliation:

1. Department of Science, King Abdullah II Faculty of Engineering, Princess Sumaya University for Technology, Amman 11941, Jordan

2. Department of Mathematics, Faculty of Science, The University of Jordan, Amman 11942, Jordan

3. Nonlinear Analysis and Applied Mathematics (NAAM) Research Group, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia

Abstract

We present a new version of the reproducing kernel Hilbert space method (RKHSM) for the solution of systems of fractional integrodifferential equations. In this approach, the solution is obtained as a convergent series with easily computable components. Several illustrative examples are given to demonstrate the effectiveness of the present method. The method described in this paper is expected to be further employed to solve similar nonlinear problems in fractional calculus.

Publisher

Hindawi Limited

Subject

Applied Mathematics,Analysis

Link

http://downloads.hindawi.com/journals/aaa/2014/103016.pdf

Reference20 articles.

1. Solving systems of fractional differential equations using differential transform method

2. Solution of system of fractional differential equations by Adomian decomposition method

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