An Efficient Analytical Method for Analyzing the Nonlinear Fractional Klein–Fock–Gordon Equations

The purpose of this article is to solve a nonlinear fractional Klein–Fock–Gordon equation that involves recently created non-singular kernel derivative by Caputo–Fabrizio. Motivated some physical applications related the equation, we focus our study on and phenomena rated it. findings are crucial essential for explaining variety processes. In order find satisfactory approximations offered problems, work takes into account modern methodology operator in context. We first take Yang transform Caputo–Fabrizio then implement it equations. will consider three cases ensure applicability effectiveness suggested technique. determine an approximate solution fast convergent series form, can use homotopy perturbation approach. numerical simulation provided demonstrate dependability method. Furthermore, several orders be used describe behavior given solutions. results achieved high efficiency, ease use, strategy resolving other issues.