The Solution of Nonlinear Time-Fractional Differential Equations: An Approximate Analytical Approach

The nonlinear time fractional order coupled differential equations are considered in the present investigation. In particular, homogeneous advection equation coupled Burger’s equations, and coupled Schrodinger-Kdv equations are taken care of for the several fraction orders. The novelty of the current investigation is the explicit and analytical solution of these equations by employing a new approach called “Reduced Differential Transform Method” (RDTM) in association with the “Adomian Decomposition Method” (ADM). Finally, the method’s efficiency and convergence are obtained by comparing the fractional order’s exact solution through particular examples. These are presented via surface and contour plots