Dickson polynomial-based solutions for fractional order physics problems

Abstract In this article, we introduce a new operational matrix of the fractional-order derivative that depends on the Caputo operator of differentiation and first-kind Dickson polynomials. The established matrix, in addition to the Tau spectral method, will be used for solving three important appli...

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Bibliographic Details

Published in:	Journal of Inequalities and Applications
Main Authors:	A. A. El-Sayed, S. Boulaaras, F. A. Al-Kharousi
Format:	Article
Language:	English
Published:	SpringerOpen 2025-09-01
Subjects:	Dickson polynomials Caputo fractional operator Operational matrix of fractional derivatives Tau method Bagley-Torvik equation Lane-Emden problem
Online Access:	https://doi.org/10.1186/s13660-025-03367-7