Fractional Nonlinear Klein-Gordon Equation via Conformable Double Laplace Transform Method

Abstract

In this work, conformable double Laplace transform is successfully applied on one -dimensional fractional non-linear Klein-Gordon equation to find approximate analytical solu-tions. To show the applicability of the method two test Examples were considered .Solution graphs of examples are depicted for different values of 𝛼 and 𝛽. The result obtained for two examples are in a good agreement with exact solution as 𝛼 and 𝛽are approaches one. Consequently, this method is promising in solving any one- dimensional nonlinear partial dif-ferential equations that arises in sciences and engineering