Fractional Homotopy Analysis Transforms Method for Solving a Fractional Heat-Like Physical Model
Keywords:Heat equation, Fractional derivatives, Analytical solution, Mittag-Leffler function, Laplace transform method, fractional homotopy analysis transform method
AbstractThe main aim of the present work is to present a new and simple algorithm for time fractional heat like physical models by using the new fractional homotopy analysis transform method (FHATM). The proposed method is an innovative adjustment in the Laplace transform algorithm (LTA) for fractional partial differential equations and makes the calculation much simpler. The numerical solutions obtained by the proposed method indicate that the approach is easy to implement and computationally very attractive. A good agreement between the obtained solution and some well-known results has been obtained.
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