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

Year 2022, Volume: 19 Issue: 1, 29 - 39, 01.05.2022

Rıabı Lakhdar , Mountassir Hamdi Cherif

Abstract

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

Keywords

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

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