HOMOTOPY PERTURBATION TRANSFORM METHOD FOR SOLVING THE PARTIAL AND THE TIME-FRACTIONAL DIFFERENTIAL EQUATIONS WITH VARIABLE COEFFICIENTS

KEHAILI ABDELKADER, HAKEM ALI, BENALI ABDELKADER

Abstract


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.

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