Work

Numerical solution of a fractional coupled system with the Caputo-Fabrizio fractional derivative

Year: 2023

Type: article

Abstract: Within this work, we discuss the existence of solutions for a coupled system of linear fractional differential equations involving Caputo-Fabrizio fractional orders.We prove the existence and uniqueness of the solution by using the Picard-Lindelöf method and fixed point theory.Also, to compute an approximate solution of problem, we utilize the Adomian decomposition method (ADM), as this method provides the solution in the form of a series such that the infinite series converge to the exact solution.Numerical examples are presented to illustrate the validity and effectiveness of the proposed method.

Source: Journal of Applied Mathematics and Computational Mechanics

DOI: 10.17512/jamcm.2023.1.04

Authors: Ikram Mansouri, Mohammed Moumen Bekkouche, Abdelaziz Azeb Ahmed

Institution: University of Eloued

Language: English

Topic: Fractional Differential Equations Solutions

Subfield: Modeling and Simulation

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4361298286

FWCI: 1.261

Cites: 28

Cited by: 6

Related to: 10