Analytical Solution of Time-Fractional Klien-Gordon Equation by using Laplace-Adomian Decomposition Method

. In the present article, we use the Laplace-Adomian decomposition method to investigate the approximate analytical solution of linear and non-linear time-fractional Klien-Gordon equations with appropriate initial conditions. The derivatives considered herein, are taken in Caputo’s sense. Analytical results obtained by the proposed method are in series form and numerical computation indicates that the procedure of the suggested technique is very simple and straightforward