Solving fractional Fredholm integro-differential equations by Laguerre polynomials

Solving fractional Fredholm integro-differential equations by Laguerre polynomials

The main purpose of this study was to present an approximation method based on the Laguerre polynomials to obtain the solutions of the fractional linear Fredholm integro-differential equations. This method transforms the integro-differential equation to a system of linear algebraic equations by usin...

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Main Authors: Daşcioğlu, Ayşegül, Bayram, Dilek Varol
Format: Article
Language:English
Published: Penerbit Universiti Kebangsaan Malaysia 2019
Online Access:http://journalarticle.ukm.my/13075/
http://journalarticle.ukm.my/13075/
http://journalarticle.ukm.my/13075/1/29%20Aysegul%20Dascioglu.pdf
id ukm-13075
recordtype eprints
spelling ukm-130752019-06-14T03:32:47Z http://journalarticle.ukm.my/13075/ Solving fractional Fredholm integro-differential equations by Laguerre polynomials Daşcioğlu, Ayşegül Bayram, Dilek Varol The main purpose of this study was to present an approximation method based on the Laguerre polynomials to obtain the solutions of the fractional linear Fredholm integro-differential equations. This method transforms the integro-differential equation to a system of linear algebraic equations by using the collocation points. In addition, the matrix relation for Caputo fractional derivative of Laguerre polynomials is also obtained. Besides, some examples are presented to illustrate the accuracy of the method and the results are discussed. Penerbit Universiti Kebangsaan Malaysia 2019-01 Article PeerReviewed application/pdf en http://journalarticle.ukm.my/13075/1/29%20Aysegul%20Dascioglu.pdf Daşcioğlu, Ayşegül and Bayram, Dilek Varol (2019) Solving fractional Fredholm integro-differential equations by Laguerre polynomials. Sains Malaysiana, 48 (1). pp. 251-257. ISSN 0126-6039 http://www.ukm.my/jsm/malay_journals/jilid48bil1_2019/KandunganJilid48Bil1_2019.html
repository_type Digital Repository
institution_category Local University
institution Universiti Kebangasaan Malaysia
building UKM Institutional Repository
collection Online Access
language English
description The main purpose of this study was to present an approximation method based on the Laguerre polynomials to obtain the solutions of the fractional linear Fredholm integro-differential equations. This method transforms the integro-differential equation to a system of linear algebraic equations by using the collocation points. In addition, the matrix relation for Caputo fractional derivative of Laguerre polynomials is also obtained. Besides, some examples are presented to illustrate the accuracy of the method and the results are discussed.
format Article
author Daşcioğlu, Ayşegül
Bayram, Dilek Varol
spellingShingle Daşcioğlu, Ayşegül
Bayram, Dilek Varol
Solving fractional Fredholm integro-differential equations by Laguerre polynomials
author_facet Daşcioğlu, Ayşegül
Bayram, Dilek Varol
author_sort Daşcioğlu, Ayşegül
title Solving fractional Fredholm integro-differential equations by Laguerre polynomials
title_short Solving fractional Fredholm integro-differential equations by Laguerre polynomials
title_full Solving fractional Fredholm integro-differential equations by Laguerre polynomials
title_fullStr Solving fractional Fredholm integro-differential equations by Laguerre polynomials
title_full_unstemmed Solving fractional Fredholm integro-differential equations by Laguerre polynomials
title_sort solving fractional fredholm integro-differential equations by laguerre polynomials
publisher Penerbit Universiti Kebangsaan Malaysia
publishDate 2019
url http://journalarticle.ukm.my/13075/
http://journalarticle.ukm.my/13075/
http://journalarticle.ukm.my/13075/1/29%20Aysegul%20Dascioglu.pdf
first_indexed 2023-09-18T20:04:02Z
last_indexed 2023-09-18T20:04:02Z
_version_ 1777407038754652160

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