Fractional-order shifted Legendre collocation method for solving non-linear variable-order fractional Fredholm integro-differential equations

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

Authors

Abdelkawy, MA (Author) Other; Amin, AZM (Author) Other; António Mendes Lopes (Author) FEUP

Journal

The Journal is awaiting validation by the Administrative Services.

Title: COMPUTATIONAL & APPLIED MATHEMATICS

Vol. 41

ISSN: 2238-3603

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Other information

Authenticus ID: P-00V-SZY

DOI: 10.1007/s40314-021-01702-4

Abstract (EN): Fractional differential equations have been adopted for modeling many real-world problems, namely those appearing in biological systems since they can capture memory and hereditary effects. In this paper, an efficient and accurate method for solving both one-dimensional and systems of nonlinear variable-order fractional Fredholm integro-differential equations with initial conditions is proposed. The method is based on the fractional-order shifted Legendre-Gauss-Lobatto collocation technique for fractional-order Riemann-Liouville derivative. The effectiveness and validity of the numerical approach are illustrated by solving four distinct problems.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 21