A New Coupled Fractional Reduced Differential Transform Method for Solving Time Fractional Coupled KdV Equations

Abstract

Abstract In the present paper, a very new technique, Coupled Fractional Reduced Differential Transform, has been implemented to obtain the numerical approximate solution of coupled time fractional kdV equations. The fractional derivatives are described in the Caputo sense. By using the present method we can solve many linear and nonlinear coupled fractional differential equations. The obtained results are compared with the exact solutions. Numerical solutions are presented graphically to show the reliability and efficiency of the method.