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Fractional Calculus for Solving generalized Abel's Integral Equations using Chebyshev Polynomials

by M. H. Saleh, S. M. Amer, D. Sh. Mohamed, A. E. Mahdy
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International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 100 - Number 8
Year of Publication: 2014
Authors: M. H. Saleh, S. M. Amer, D. Sh. Mohamed, A. E. Mahdy
10.5120/17545-8138

M. H. Saleh, S. M. Amer, D. Sh. Mohamed, A. E. Mahdy . Fractional Calculus for Solving generalized Abel's Integral Equations using Chebyshev Polynomials. International Journal of Computer Applications. 100, 8 ( August 2014), 18-23. DOI=10.5120/17545-8138

@article{ 10.5120/17545-8138,
author = { M. H. Saleh, S. M. Amer, D. Sh. Mohamed, A. E. Mahdy },
title = { Fractional Calculus for Solving generalized Abel's Integral Equations using Chebyshev Polynomials },
journal = { International Journal of Computer Applications },
issue_date = { August 2014 },
volume = { 100 },
number = { 8 },
month = { August },
year = { 2014 },
issn = { 0975-8887 },
pages = { 18-23 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume100/number8/17545-8138/ },
doi = { 10.5120/17545-8138 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T22:29:26.079067+05:30
%A M. H. Saleh
%A S. M. Amer
%A D. Sh. Mohamed
%A A. E. Mahdy
%T Fractional Calculus for Solving generalized Abel's Integral Equations using Chebyshev Polynomials
%J International Journal of Computer Applications
%@ 0975-8887
%V 100
%N 8
%P 18-23
%D 2014
%I Foundation of Computer Science (FCS), NY, USA
Abstract

In this paper we investigate the numerical solution of Abel's integral equations of the first and second kind by chebychev polynomials of the first ,second ,third and fourth kinds. Some numerical examples are presented to illustrate the method.

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Index Terms

Computer Science
Information Sciences

Keywords

Singular Volterra integral equation Abel's integral equation Fractional calculus Chebyshev polynomial Collocation pionts

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