Comparison of the Orthogonal Polynomial Solutions for Fractional Integral Equations

In this paper, a collocation method based on the orthogonal polynomials is presented to solve the fractional integral equations. Six numerical examples are given to illustrate the method. The results are compared with the other methods in the literature, and the results obtained by different kinds o...

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Main Authors:	Ayşegül Daşcıoğlu, Serpil Salınan
Format:	Article
Language:	English
Published:	MDPI AG 2019-01-01
Series:	Mathematics
Subjects:	fractional integral equations Abel integral equations Volterra integral equations collocation method singular integral equation
Online Access:	http://www.mdpi.com/2227-7390/7/1/59

id	doaj-6f945243af8f4a40850ccffc4bcb023e
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spelling	doaj-6f945243af8f4a40850ccffc4bcb023e2020-11-25T00:10:23ZengMDPI AGMathematics2227-73902019-01-01715910.3390/math7010059math7010059Comparison of the Orthogonal Polynomial Solutions for Fractional Integral EquationsAyşegül Daşcıoğlu0Serpil Salınan1Pamukkale University, Faculty of Art and Science, Department of Mathematics, Denizli 20160, TurkeyPamukkale University, Faculty of Art and Science, Department of Mathematics, Denizli 20160, TurkeyIn this paper, a collocation method based on the orthogonal polynomials is presented to solve the fractional integral equations. Six numerical examples are given to illustrate the method. The results are compared with the other methods in the literature, and the results obtained by different kinds of polynomials are compared.http://www.mdpi.com/2227-7390/7/1/59fractional integral equationsAbel integral equationsVolterra integral equationscollocation methodsingular integral equation
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Ayşegül Daşcıoğlu Serpil Salınan
spellingShingle	Ayşegül Daşcıoğlu Serpil Salınan Comparison of the Orthogonal Polynomial Solutions for Fractional Integral Equations Mathematics fractional integral equations Abel integral equations Volterra integral equations collocation method singular integral equation
author_facet	Ayşegül Daşcıoğlu Serpil Salınan
author_sort	Ayşegül Daşcıoğlu
title	Comparison of the Orthogonal Polynomial Solutions for Fractional Integral Equations
title_short	Comparison of the Orthogonal Polynomial Solutions for Fractional Integral Equations
title_full	Comparison of the Orthogonal Polynomial Solutions for Fractional Integral Equations
title_fullStr	Comparison of the Orthogonal Polynomial Solutions for Fractional Integral Equations
title_full_unstemmed	Comparison of the Orthogonal Polynomial Solutions for Fractional Integral Equations
title_sort	comparison of the orthogonal polynomial solutions for fractional integral equations
publisher	MDPI AG
series	Mathematics
issn	2227-7390
publishDate	2019-01-01
description	In this paper, a collocation method based on the orthogonal polynomials is presented to solve the fractional integral equations. Six numerical examples are given to illustrate the method. The results are compared with the other methods in the literature, and the results obtained by different kinds of polynomials are compared.
topic	fractional integral equations Abel integral equations Volterra integral equations collocation method singular integral equation
url	http://www.mdpi.com/2227-7390/7/1/59
work_keys_str_mv	AT ayseguldascıoglu comparisonoftheorthogonalpolynomialsolutionsforfractionalintegralequations AT serpilsalınan comparisonoftheorthogonalpolynomialsolutionsforfractionalintegralequations
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Comparison of the Orthogonal Polynomial Solutions for Fractional Integral Equations

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