A Comparative Study of the Fractional-Order Nonlinear System of Physical Models via Analytical Methods

This article is related to the fractional-order analysis of one- and two-dimensional nonlinear systems third-order KdV equations coupled Burgers equations, applying modified analytical methods. The proposed problems will be solved with Caputo–Fabrizio fractional derivative operator Yang transform. results we obtained by implementing suggested methods are compared exact solution. convergence method successfully presented mathematically proved. To show effectiveness methods, help graphs tables, which in strong agreement each other. Also, at various orders compared, confirming that solution gets closer as value tends from order towards integer order. Moreover, attractive, easy, highly accurate, confirms these suitable for solving partial differential or equations.