Comparative study of homotopy perturbation transformation with homotopy perturbation Elzaki transform method for solving nonlinear fractional PDE

• Main Authors: Singh Prince, Sharma Dinkar
• Format: Article
• Language: English
• Published: De Gruyter 2019-09-01
• Series: Nonlinear Engineering
• Subjects: nonlinear fractional partial differential equation; hptm; caputo sense; he’s polynomial; elzaki transform; hpetm
• Online Access: https://doi.org/10.1515/nleng-2018-0136

We apply homotopy perturbation transformation method (combination of homotopy perturbation method and Laplace transformation) and homotopy perturbation Elzaki transformation method on nonlinear fractional partial differential equation (fpde) to obtain a series solution of the equation. In this case, the fractional derivative is described in Caputo sense. To avow the adequacy and authenticity of the technique, we have applied both the techniques to Fractional Fisher’s equation, time-fractional Fornberg-Whitham equation and time fractional Inviscid Burgers’ equation. Finally, we compare the results obtained from homotopy perturbation transformation technique with homotopy perturbation Elzaki transformation.