Analysis of fractional Kawahara and modified Kawahara equations based on Caputo-Fabrizio derivative operator

Abstract

In this paper, nonlinear time fractional Kawahara and modified Kawahara equations based on Caputo-Fabrizio derivative operator is analysed using iterative Laplace transform method to obtain approximate solutions. The substantive features of the manuscript is to offer the stability conditions of solution for proposed technique. The acquired approximate solutions are in comparison with the precise solutions to confirm the applicability, performance and accuracy of the method. Moreover, the 3D plots of obtained numerical solution of the concerned equations for various specific cases are presented.