A Semi-Analytical Method for Solving Nonlinear Fractional-Order Swift-Hohenberg Equations

Abstract

In this study, we find approximate series solutions to fractional-order Swift-Hohenberg equations by using the hybrid method, i.e., accelerated homotopy perturbation transformation method (AHPTM). The accelerated homotopy perturbation method was merged with the Laplace transform to create the proposed method. We also compare the results of our proposed method with the exact solution and demonstrate that it is the useful tool for tackling nonlinear problems of fractional order. Results are presented through graphs using Mathematica software.