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Homotopy Perturbation Transform method for solving the partial and the time-fractional differential equations with variable coefficients
2020
Global Journal of Pure and Applied Sciences
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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