Homotopy Perturbation Method Applied to Fractional-order Nonlinear Partial Differential Equations
Conference paper > Full Text
Authors: Ali Raba, Bana, Fadime DAL
Zenodo (CERN European Organization for Nuclear Research), , , International, Full Text
Summary
In this paper, we propose a numerical method for solving nonlinear fractional partial differentialequations with fractional time derivatives. The fractional derivative is described in the Caputo sense.This method is based on the homotopy perturbation method. The approximate solutions obtained by ourproposed method are in excellent agreement with the exact solutions. It is worthwhile to note that ourmethod is applicable to a variety of fractional partial differential equations occurring in fluid mechanics,signal processing, system identification, control, and robotics.