Variational Iteration Method for a Fractional-Order Brusselator System-Reference-Cited by-同舟云学术

Variational Iteration Method for a Fractional-Order Brusselator System

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:

Jafari H.¹,Kadem Abdelouahab²,Baleanu D.³⁴⁵

Affiliation:

1. Department of Mathematics (Pure and Applied), Rhodes University, P.O. Box 946140, Grahamstown, South Africa

2. LMFN Mathematics Department, University of Setif, 19000, Algeria

3. Department of Chemical and Materials Engineering, King Abdulaziz University, P.O. Box 80204, Jeddah 21589, Saudi Arabia

4. Department of Mathematics and Computer Sciences, Cankaya University, Balgat 06530, Ankara, Turkey

5. Institute of Space Sciences, P.O. BOX MG-23, 76900 Magurele, Bucharest, Romania

Abstract

This paper presents approximate analytical solutions for the fractional-order Brusselator system using the variational iteration method. The fractional derivatives are described in the Caputo sense. This method is based on the incorporation of the correction functional for the equation. Two examples are solved as illustrations, using symbolic computation. The numerical results show that the introduced approach is a promising tool for solving system of linear and nonlinear fractional differential equations.

Publisher

Hindawi Limited

Subject

Applied Mathematics,Analysis

Link

http://downloads.hindawi.com/journals/aaa/2014/496323.pdf

Reference26 articles.

1. Electroviscoelasticity of liquid/liquid interfaces: fractional-order model

2. Application of generalized differential transform method to multi-order fractional differential equations

3. Solving linear and nonlinear fractional diffusion and wave equations by Adomian decomposition

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