Homotopy Perturbation Transform method for solving the partial and the time-fractional differential equations with variable coefficients

Abdelkader Kehaili, Ali Hakem, Abdelkader Benali
2020 Global Journal of Pure and Applied Sciences  
In this paper, we present the exact solutions of the Parabolic-like equations and Hyperbolic-like equations with variable coefficients, by using Homotopy perturbation transform method (HPTM). Finally, we extend the results to the time-fractional differential equations. Keywords: Caputo's fractional derivative, fractional differential equations, homotopy perturbation transform method, hyperbolic-like equation, Laplace transform, parabolic-like equation.
doi:10.4314/gjpas.v26i1.6 fatcat:tcfguvbf7va2jeralosetsi5du