Research Article

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
journal cover
International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 74 - Issue 17
Published: July 2013
Authors: M. H. Saleh, S. M. Amer, M. A. Shalaan
10.5120/12981-0280
PDF

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 },
                        year    = { 2013 },
                        volume  = { 74 },
                        number  = { 17 },
                        pages   = { 44-49 },
                        doi     = { 10.5120/12981-0280 },
                        publisher = { Foundation of Computer Science (FCS), NY, USA }
                        }
                        %0 Journal Article
                        %D 2013
                        %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%T 
                        %J International Journal of Computer Applications
                        %V 74
                        %N 17
                        %P 44-49
                        %R 10.5120/12981-0280
                        %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
No index terms available.
Keywords

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

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