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- Title
Shifted Fractional-Order Jacobi Collocation Method for Solving Variable-Order Fractional Integro-Differential Equation with Weakly Singular Kernel.
- Authors
Abdelkawy, Mohamed A.; Amin, Ahmed Z. M.; Lopes, António M.; Hashim, Ishak; Babatin, Mohammed M.
- Abstract
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.
- Subjects
JACOBI method; EIGENVALUES; INTEGRO-differential equations; KERNEL (Mathematics); RIEMANN integral
- Publication
Fractal & Fractional, 2022, Vol 6, Issue 1, p19
- ISSN
2504-3110
- Publication type
Article
- DOI
10.3390/fractalfract6010019