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Comparison of Adomian Decomposition and Taylor Expansion Methods for the Solutions of Fractional Integro-Differential Equations

by M. H. Saleh, S. M. Amer, M. A. Shalaan
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International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 74 - Number 17
Year of Publication: 2013
Authors: M. H. Saleh, S. M. Amer, M. A. Shalaan
10.5120/12981-0280

M. H. Saleh, S. M. Amer, M. A. Shalaan . Comparison of Adomian Decomposition and Taylor Expansion Methods for the Solutions of Fractional Integro-Differential Equations. International Journal of Computer Applications. 74, 17 ( July 2013), 44-49. DOI=10.5120/12981-0280

@article{ 10.5120/12981-0280,
author = { M. H. Saleh, S. M. Amer, M. A. Shalaan },
title = { Comparison of Adomian Decomposition and Taylor Expansion Methods for the Solutions of Fractional Integro-Differential Equations },
journal = { International Journal of Computer Applications },
issue_date = { July 2013 },
volume = { 74 },
number = { 17 },
month = { July },
year = { 2013 },
issn = { 0975-8887 },
pages = { 44-49 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume74/number17/12981-0280/ },
doi = { 10.5120/12981-0280 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T21:42:35.482868+05:30
%A M. H. Saleh
%A S. M. Amer
%A M. A. Shalaan
%T Comparison of Adomian Decomposition and Taylor Expansion Methods for the Solutions of Fractional Integro-Differential Equations
%J International Journal of Computer Applications
%@ 0975-8887
%V 74
%N 17
%P 44-49
%D 2013
%I Foundation of Computer Science (FCS), NY, USA
Abstract

In this paper will be compared between Adomian decomposition method (ADM) and Taylor expansion method (TEM) for solving (approximately) a class of fractional integro-differential equations. Numerical examples are presented to illustrate the efficiency and accuracy of the proposed methods.

References
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Index Terms

Computer Science
Information Sciences

Keywords

Fractional integro-differential equations Adomian decomposition method Taylor expansion method Caputo fractional derivative Riemann-Liouville.

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