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System of Linear Fractional Integro-Differential Equations by using Adomian Decomposition Method

by M. H.saleh, D.sh.mohamed, M.h.ahmed, M.k. Marjan
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International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 121 - Number 24
Year of Publication: 2015
Authors: M. H.saleh, D.sh.mohamed, M.h.ahmed, M.k. Marjan
10.5120/21872-5117

M. H.saleh, D.sh.mohamed, M.h.ahmed, M.k. Marjan . System of Linear Fractional Integro-Differential Equations by using Adomian Decomposition Method. International Journal of Computer Applications. 121, 24 ( July 2015), 9-19. DOI=10.5120/21872-5117

@article{ 10.5120/21872-5117,
author = { M. H.saleh, D.sh.mohamed, M.h.ahmed, M.k. Marjan },
title = { System of Linear Fractional Integro-Differential Equations by using Adomian Decomposition Method },
journal = { International Journal of Computer Applications },
issue_date = { July 2015 },
volume = { 121 },
number = { 24 },
month = { July },
year = { 2015 },
issn = { 0975-8887 },
pages = { 9-19 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume121/number24/21872-5117/ },
doi = { 10.5120/21872-5117 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T23:09:16.784966+05:30
%A M. H.saleh
%A D.sh.mohamed
%A M.h.ahmed
%A M.k. Marjan
%T System of Linear Fractional Integro-Differential Equations by using Adomian Decomposition Method
%J International Journal of Computer Applications
%@ 0975-8887
%V 121
%N 24
%P 9-19
%D 2015
%I Foundation of Computer Science (FCS), NY, USA
Abstract

In this paper, Adomian decomposition method is applied to solve system linear fractional integro-differential equations. The fractional derivative is considered in the Caputo sense. Special attentions are given to study the convergence of the proposed method. Finally, some numerical examples are provided to show that this method is computationally efficient.

References
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Index Terms

Computer Science
Information Sciences

Keywords

System linear fractional integro-differential equations Adomian decomposition method Caputo fractional derivative Riemann-Liouville

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