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Legendre Wavelet and He's Homotopy Perturbation Methods for Linear Fractional Integro-Differential Equations

by M. H. Saleh, A.s. Nagdy, M. E. M. Alngar
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International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 110 - Number 10
Year of Publication: 2015
Authors: M. H. Saleh, A.s. Nagdy, M. E. M. Alngar
10.5120/19354-1063

M. H. Saleh, A.s. Nagdy, M. E. M. Alngar . Legendre Wavelet and He's Homotopy Perturbation Methods for Linear Fractional Integro-Differential Equations. International Journal of Computer Applications. 110, 10 ( January 2015), 25-31. DOI=10.5120/19354-1063

@article{ 10.5120/19354-1063,
author = { M. H. Saleh, A.s. Nagdy, M. E. M. Alngar },
title = { Legendre Wavelet and He's Homotopy Perturbation Methods for Linear Fractional Integro-Differential Equations },
journal = { International Journal of Computer Applications },
issue_date = { January 2015 },
volume = { 110 },
number = { 10 },
month = { January },
year = { 2015 },
issn = { 0975-8887 },
pages = { 25-31 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume110/number10/19354-1063/ },
doi = { 10.5120/19354-1063 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T22:46:01.475111+05:30
%A M. H. Saleh
%A A.s. Nagdy
%A M. E. M. Alngar
%T Legendre Wavelet and He's Homotopy Perturbation Methods for Linear Fractional Integro-Differential Equations
%J International Journal of Computer Applications
%@ 0975-8887
%V 110
%N 10
%P 25-31
%D 2015
%I Foundation of Computer Science (FCS), NY, USA
Abstract

In this paper, the Legendre wavelet method (LWM) and He's Homotopy perturbation method (HPM) are applied to approximate solution for linear fractional integro-differential equation with initial condition. A comparison between these methods takes place. Numerical examples are presented to illustrste the efficiency and accuracy of the proposed methods.

References
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Index Terms

Computer Science
Information Sciences

Keywords

Fractional integro-differential equations Legendre wavelet method He's homotopy perturbation method Caputo fractional derivative Riemann-Liouville.

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