Research Article
Fractional Calculus for Solving generalized Abel's Integral Equations using Chebyshev Polynomials
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International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
|
| Volume 100 - Issue 8 |
| Published: August 2014 |
| Authors: M. H. Saleh, S. M. Amer, D. Sh. Mohamed, A. E. Mahdy |
10.5120/17545-8138
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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 },
year = { 2014 },
volume = { 100 },
number = { 8 },
pages = { 18-23 },
doi = { 10.5120/17545-8138 },
publisher = { Foundation of Computer Science (FCS), NY, USA }
}
%0 Journal Article
%D 2014
%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%T
%J International Journal of Computer Applications
%V 100
%N 8
%P 18-23
%R 10.5120/17545-8138
%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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