Approximate Numerical Solution of the Nonlinear Klein-Gordon Equation with Caputo-Fabrizio Fractional Operator

Abstract

This work analyze the linear and nonlinear fractional Klein-Gordon equation using fractional homotopy perturbation transform method (FHPTM) via Caputo-Fabrizio derivative. The proposed technique is used to solve fractional model without any restrictive assumptions. The acquired results ratify that the proposed method is acceptable and credible for approximate analytic treatment of the extensive types of nonlinear physical processes.