Research Article
Variational Iteration Method and Adomian Decomposition Method for Fourth-Order Fractional Integro-Differential Equations
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International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
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| Volume 80 - Issue 6 |
| Published: October 2013 |
| Authors: S. M. Amer, M. H. Saleh, M. A. Mohamed, N. S. Abdelrhman |
10.5120/13863-1718
|
S. M. Amer, M. H. Saleh, M. A. Mohamed, N. S. Abdelrhman . Variational Iteration Method and Adomian Decomposition Method for Fourth-Order Fractional Integro-Differential Equations. International Journal of Computer Applications. 80, 6 (October 2013), 7-14. DOI=10.5120/13863-1718
@article{ 10.5120/13863-1718,
author = { S. M. Amer,M. H. Saleh,M. A. Mohamed,N. S. Abdelrhman },
title = { Variational Iteration Method and Adomian Decomposition Method for Fourth-Order Fractional Integro-Differential Equations },
journal = { International Journal of Computer Applications },
year = { 2013 },
volume = { 80 },
number = { 6 },
pages = { 7-14 },
doi = { 10.5120/13863-1718 },
publisher = { Foundation of Computer Science (FCS), NY, USA }
}
%0 Journal Article
%D 2013
%A S. M. Amer
%A M. H. Saleh
%A M. A. Mohamed
%A N. S. Abdelrhman
%T Variational Iteration Method and Adomian Decomposition Method for Fourth-Order Fractional Integro-Differential Equations%T
%J International Journal of Computer Applications
%V 80
%N 6
%P 7-14
%R 10.5120/13863-1718
%I Foundation of Computer Science (FCS), NY, USA
Abstract
In this paper, linear and nonlinear boundary value problems for fourth-order fractional integro- differential equations are solved by Variational iteration method (VIM) and Adomian decomposition method (ADM). The fractional derivative is considered in the Caputo sense . The solutions of both problems are derived by infinite convergent series . Numerical example are presented to illustrate the efficiency and reliability of two methods.
References
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