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

Autor:	Mohamed A. Abdelkawy, Ahmed Z. M. Amin, António M. Lopes, Ishak Hashim, Mohammed M. Babatin
Jazyk:	angličtina
Rok vydání:	2021
Předmět:	Statistics and Probability QA299.6-433 variable-order fractional integro-differential equation fractional-order shifted Jacobi polynomial QA1-939 Thermodynamics Statistical and Nonlinear Physics QC310.15-319 Riemann–Liouville fractional derivative Riemann–Liouville fractional integral Mathematics Analysis
Zdroj:	Fractal and Fractional; Volume 6; Issue 1; Pages: 19 Fractal and Fractional, Vol 6, Iss 19, p 19 (2022)
ISSN:	2504-3110
DOI:	10.3390/fractalfract6010019
Popis:	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.
Databáze:	OpenAIRE
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