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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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