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An Integral Operational Matrix of Fractional-Order Chelyshkov Functions and Its Applications

Department of Mathematics, Faculty of Science, Al-Azhar University, Assiut 71254, Egypt
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Author to whom correspondence should be addressed.
Symmetry 2020, 12(11), 1755; https://doi.org/10.3390/sym12111755
Received: 26 July 2020 / Revised: 29 September 2020 / Accepted: 16 October 2020 / Published: 23 October 2020
(This article belongs to the Section Mathematics and Symmetry/Asymmetry)
Fractional differential equations have been applied to model physical and engineering processes in many fields of science and engineering. This paper adopts the fractional-order Chelyshkov functions (FCHFs) for solving the fractional differential equations. The operational matrices of fractional integral and product for FCHFs are derived. These matrices, together with the spectral collocation method, are used to reduce the fractional differential equation into a system of algebraic equations. The error estimation of the presented method is also studied. Furthermore, numerical examples and comparison with existing results are given to demonstrate the accuracy and applicability of the presented method. View Full-Text
Keywords: fractional-order chelyshkov functions; fractional differential equations; operational matrix; collocation method; error estimation fractional-order chelyshkov functions; fractional differential equations; operational matrix; collocation method; error estimation
MDPI and ACS Style

Al-Sharif, M.S.; Ahmed, A.I.; Salim, M.S. An Integral Operational Matrix of Fractional-Order Chelyshkov Functions and Its Applications. Symmetry 2020, 12, 1755. https://doi.org/10.3390/sym12111755

AMA Style

Al-Sharif MS, Ahmed AI, Salim MS. An Integral Operational Matrix of Fractional-Order Chelyshkov Functions and Its Applications. Symmetry. 2020; 12(11):1755. https://doi.org/10.3390/sym12111755

Chicago/Turabian Style

Al-Sharif, M. S., A. I. Ahmed, and M. S. Salim. 2020. "An Integral Operational Matrix of Fractional-Order Chelyshkov Functions and Its Applications" Symmetry 12, no. 11: 1755. https://doi.org/10.3390/sym12111755

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