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Variational Iteration Method and Adomian Decomposition Method for Fourth-Order Fractional Integro-Differential Equations

by S. M. Amer, M. H. Saleh, M. A. Mohamed, N. S. Abdelrhman
journal cover thumbnail

International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 80 - Number 6
Year of Publication: 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 },
issue_date = { October 2013 },
volume = { 80 },
number = { 6 },
month = { October },
year = { 2013 },
issn = { 0975-8887 },
pages = { 7-14 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume80/number6/13863-1718/ },
doi = { 10.5120/13863-1718 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T21:53:48.370060+05:30
%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
%J International Journal of Computer Applications
%@ 0975-8887
%V 80
%N 6
%P 7-14
%D 2013
%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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Index Terms

Computer Science
Information Sciences

Keywords

Fractional integro-differential equations Caputo fractional derivative Variational iteration method Adomain decomposition method Boundary value problems.

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