Shifted fractional Jacobi collocation method for solving fractional functional differential equations of variable order

• Type: Article in International Scientific Journal
• Date: 2020

Authors

Abdelkawy, MA (Author) Other; António Mendes Lopes (Author) FEUP; Babatin, MM (Author) Other

Journal

Title: Chaos, Solitons & Fractals

Vol. 134

ISSN: 0960-0779

Indexing

ISI Web of Knowledge - 13 Citations

Scopus - 15 Citations

Other information

Authenticus ID: P-00R-VCB

DOI: 10.1016/j.chaos.2020.109721

Abstract (EN): Functional differential equations have been widely used for modeling real-world phenomena in distinct areas of science. However, classical calculus can not provide always the best description of some complex phenomena, namely those observed in biological systems and medicine. This paper proposes a new numerical method for solving variable order fractional functional differential equations (VO-FFDE). Firstly, the shifted fractional Jacobi collocation method (SF-JC) is applied to solve the VO-FFDE with initial conditions. Then, the SF-JC is applied to the VO-FFDE with boundary conditions. Several numerical examples with different types of VO-FFDE demonstrate the superiority of the proposed method.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 9