Numerical treatment of the coupled fractional mKdV equations based on the Adomian decomposition technique

The present research implements the decomposition Adomian approach of the approximation solution for the nonlinear coupled modification Korteweg-De Vries (KdV) model in space time fractional order with appropriate initial values. This method yields a power series calculation for the solution. This process does not require linearization, the concept of weak nonlinear nature assumption, or perturbation theory. A mathematical software like Mathematica or Maple has been used to evaluate the Adomian formulas of the consequent series solution. This procedure might additionally be applied to resolve various types of fractional order nonlinear mathematical physics models. A graphic discussion is provided regarding the behavior of Adomian solutions and the varying changes in non integer order values and their effects. The approach is simple, clear and general enough to be used with other nonlinear fractional problems in mathematics and physics.