Please use this identifier to cite or link to this item: https://hdl.handle.net/11499/30373
Title: Solving fractional Fredholm integro-differential equations by Laguerre polynomials
Authors: Daşcıoğlu, Ayşegül
Bayram, Dilek Varol
Keywords: Fractional integro-differential equations
Fredholm integro-differential equations
Laguerre polynomials
accuracy assessment
equation
Publisher: Penerbit Universiti Kebangsaan Malaysia
Abstract: 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. © 2019 Penerbit Universiti Kebangsaan Malaysia. All Rights Reserved.
URI: https://hdl.handle.net/11499/30373
https://doi.org/10.17576/jsm-2019-4801-29
ISSN: 0126-6039
Appears in Collections:Fen-Edebiyat Fakültesi Koleksiyonu
Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection
WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection

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