Geodesic
A numerical study of a coupled system of fractional differential equations
Filomat, Tome 34 (2020) no. 8, p. 2585

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DOI

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.
DOI : 10.2298/FIL2008585A
Classification : 34A08, 34K28
Keywords: Coupled system of fractional differential equations, ψ-Caputo fractional derivative, Operational matrix of fractional integration, ψ-polynomial basis 
Amal Alshabanat; Bessem Samet. A numerical study of a coupled system of fractional differential equations. Filomat, Tome 34 (2020) no. 8, p. 2585 . doi: 10.2298/FIL2008585A
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     author = {Amal Alshabanat and Bessem Samet},
     title = {A numerical study of a coupled system of fractional differential equations},
     journal = {Filomat},
     pages = {2585 },
     year = {2020},
     volume = {34},
     number = {8},
     doi = {10.2298/FIL2008585A},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2008585A/}
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