Open AccessHomotopy Perturbation Transform method for solving the partial and the time-fractional differential equations with variable coefficients
Author(s) -
Abdelkader Kehaili,
Ali Hakem,
Abdelkader Benali
Publication year - 2020
Publication title -
global journal of pure and applied sciences.
Language(s) - English
Resource type - Journals
ISSN - 1118-0579
DOI - 10.4314/gjpas.v26i1.6
Subject(s) - mathematics , laplace transform , mathematical analysis , laplace transform applied to differential equations , homotopy analysis method , fractional calculus , hyperbolic partial differential equation , perturbation (astronomy) , partial differential equation , homotopy perturbation method , differential equation , homotopy , physics , pure mathematics , quantum mechanics
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.