Fractional View Analysis of Kuramoto–Sivashinsky Equations with Non-Singular Kernel Operators

In this article, we investigate the nonlinear model describing various physical and chemical phenomena named Kuramoto–Sivashinsky equation. We implemented natural decomposition method, a novel technique, mixed with Caputo–Fabrizio (CF) Atangana–Baleanu deriavatives in Caputo manner (ABC) fractional derivatives for obtaining approximate analytical solution of equation (FKS). The proposed method gives series form which converges quickly towards exact solution. To show accuracy examine three different cases. presented results by means graphs tables to ensure validity. Further, behavior achieved order is also presented. obtain implementing shows that our technique extremely efficient simple behaviour models found science technology.