Shifted Fractional-Order Jacobi Collocation Method for Solving Variable-Order Fractional Integro-Differential Equation with Weakly Singular Kernel

• Type: Article in International Scientific Journal
• Date: 2022

Authors

Abdelkawy, MA (Author) Other; Amin, AZM (Author) Other; António Mendes Lopes (Author) FEUP; Hashim, I (Author) Other; Babatin, MM (Author) Other

Journal

The Journal is awaiting validation by the Administrative Services.

Title: FRACTAL AND FRACTIONAL

Vol. 41

Final page: 19

ISSN: 2504-3110

Indexing

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Other information

Authenticus ID: P-00V-XC0

DOI: 10.3390/fractalfract6010019

Abstract (EN): We propose a fractional-order shifted Jacobi-Gauss collocation method for variable-order fractional integro-differential equations with weakly singular kernel (VO-FIDE-WSK) subject to initial conditions. Using the Riemann-Liouville fractional integral and derivative and fractional-order shifted Jacobi polynomials, the approximate solutions of VO-FIDE-WSK are derived by solving systems of algebraic equations. The superior accuracy of the method is illustrated through several numerical examples.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 19