An Effective Numerical Approach for Fractional Integro-Differential Systems Using Shifted Airfoil Polynomials

Saeed Althubiti

Journal of Mathematics, 2026, vol. 2026, 1-13

Abstract: In this paper, we propose a projection method that utilizes shifted airfoil polynomials to solve systems of weakly singular fractional integro-differential equations (FIDEs). The proposed approach converts the original system into two linear algebraic systems, facilitating efficient numerical solutions. We establish the existence of solutions and provide a rigorous error analysis within the weighted Hilbert space LÏ‘20,1. Several numerical examples are presented to support the theoretical findings and to demonstrate the superiority of the method compared to classical polynomial bases.

Date: 2026
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:5771120

DOI: 10.1155/jom/5771120

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