cujse

Cankaya University Journal of Science and Engineering

2564-7954

Cankaya University

Engineering

Mühendislik

A Precise Analytical Method to Solve the Nonlinear System of Partial Differential Equations with the Caputo Fractional Operator

https://orcid.org/0000-0002-3121-4090

Lakhdar

Rıabı

Preparatory cycle department, Oran's Hight School of Electrical and Energetics Engineering (ESGEE), Oran, Algeria

https://orcid.org/0000-0003-3458-1918

Hamdi Cherif

Mountassir

Preparatory cycle department, Oran's Hight School of Electrical and Energetics Engineering (ESGEE), Oran, Algeria.

05 01 2022

19 1 29 39 09 02 2021 01 26 2022

2009

Cankaya University Journal of Science and Engineering

In this paper, we present a new technique by combination the homotopy perturbationmethod with ZZ transform method, we get the homotopy perturbation ZZ transformmethod to solve systems of nonlinear fractional partial differential equations. The fractional derivative is described in the Caputo sense. The results show that this method isappropriate and effective to solve the nonlinear system of nonlinear fractional differential equations and other nonlinear problems

Homotopy perturbation method Caputo fractional derivative ZZ integral transform Nonlinear fractional differential equations.

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