Analytical solution of non-linear fractional order Swift-Hohenberg equations
Hussam Alrabaiah, Israr Ahmad, Kamal Shah, Ibrahim Mahariq, Ghaus ur Rahman
Abstract
In this paper, we find approximate analytical solutions to fractional order “Swift-Hohenberg equations” by using Laplace Adomian decomposition method (LADM). With the help of the this method, we investigate various types of problems involving and excluding dispersive terms. Further investigation is carried out by taking the Caputo fractional order derivative (FOD) in the problem in hand. We also compute the series type solutions by using LADM for different types of problems. Results are presented through graphs by using MATLAB. Also, we compare results with the results obtained from Homotopy analysis method (HAM) which shows that the proposed method is an efficient tools for solving nonlinear problems of fractional order.