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

• Tipo: Artigo em Revista Científica Internacional
• Data: 2022

Autores

Abdelkawy, MA (Autor) Outra; Amin, AZM (Autor) Outra; António Mendes Lopes (Autor) FEUP

Revista

A Revista está pendente de validação pelos Serviços Administrativos.

Título: COMPUTATIONAL & APPLIED MATHEMATICS

Vol. 41

ISSN: 2238-3603

Indexação

ISI Web of Knowledge - 0 Citações

Scopus - 0 Citações

Outras Informações

ID Authenticus: 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.

Idioma: Inglês

Tipo (Avaliação Docente): Científica

Nº de páginas: 21