A numerical study of a coupled system of fractional differential equations | Zendy

Amal Alshabanat | Zendy; Bessem Samet | Zendy

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A numerical study of a coupled system of fractional differential equations

Author(s) -

Amal Alshabanat,

Bessem Samet

Publication year - 2020

Publication title -

filomat

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.449

H-Index - 34

eISSN - 2406-0933

pISSN - 0354-5180

DOI - 10.2298/fil2008585a

Subject(s) - mathematics , convergence (economics) , class (philosophy) , differential equation , fractional calculus , numerical analysis , scheme (mathematics) , polynomial , matrix (chemical analysis) , mathematical analysis , computer science , materials science , artificial intelligence , economics , composite material , economic growth

We consider a certain class of coupled systems of fractional differential equations involving ψ-Caputo fractional derivatives. A numerical approach is provided for solving this class of systems. The method is based on operational matrix of fractional integration of an arbitrary ψ-polynomial basis. A theoretical study related to the numerical scheme and the convergence of the method is presented. Next, several numerical examples are given using different types of polynomials aiming to confirm the efficiency of our approach.

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