Please use this identifier to cite or link to this item: https://hdl.handle.net/11499/46557
Title: Laguerre polynomial solutions of linear fractional integro-differential equations
Authors: Dascioglu, Aysegul
Varol, Dilek
Keywords: Laguerre polynomials
Fractional Fredholm-Volterra integro-differential equations
Conformable fractional derivative
Homotopy Perturbation Method
Numerical-Solution
Convergence Analysis
Collocation Method
Order
Approximation
Publisher: Springer Heidelberg
Abstract: In this paper, the numerical solutions of the linear fractional Fredholm-Volterra integro-differential equations have been investigated. For this purpose, Laguerre polynomials have been used to develop an approximation method. Precisely, using the suitable collocation points, a system of linear algebraic equations arises which is resulted by the transformation of the integro-differential equation. The fractional derivative is considered in the conformable sense, and the conformable fractional derivative of the Laguerre polynomials is obtained in terms of Laguerre polynomials. Additionally, for the first time in the literature, the exact matrix formula of the conformable derivatives of the Laguerre polynomials is established. Furthermore, the results of the proposed method have been given applying the method to some various examples.
URI: https://doi.org/10.1007/s40096-020-00369-y
https://hdl.handle.net/11499/46557
ISSN: 2008-1359
2251-7456
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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