The Extended Fractional Subequation Method for NonlinearFractional Differential Equations

Abstract EN

An extended fractional subequation method is proposed for solving fractional differential equations by introducing a new general ansätz and Bäcklund transformation of the fractional Riccati equation with known solutions.

Being concise and straightforward, this method is applied to the space-time fractional coupled Burgers’ equations and coupled MKdV equations.

As a result, many exact solutions are obtained.

It is shown that the considered method provides a very effective, convenient, and powerful mathematical tool for solving fractional differential equations.