Dynamics of the nonlinear Systems in the Frame of the Caputo-Fabrizio Fractional Derivative

In this manuscript, efficient numerical technique called the fractional homotopy perturbation transform method (FHPTM) is used for solving linear and nonlinear systems. Caputo fabrizio derivative (CFD) is used to define fractional operator in this class to get approximate solution for four cases of the homogeneous linear system and inhomogeneous nonlinear system of equation. The FHPTM is used with the Laplace transform technique in this work. To demonstrate the capabilities and efficiency of the FHPTM approach, several applicable problems from various domains of Science and Engineering, such as Physics and Biology, are presented. We exhibit various two and three dimensional figures to demonstrate, these solutions have wave-like features.