The Feng's first integral method applied to the nonlinear mKdV space-time fractional partial differential equation

Abstract

In this paper, the fractional derivatives in the sense of the modified Riemann-Liouville derivative and the Feng's first integral method are employed for solving the important nonlinear coupled space-time fractional mKdV partial differential equation, this approach provides new exact solutions through establishing first integrals of the mKdV equation. The present method is efficient, reliable, and it can be used as an alternative to establish new solutions of different types of fractional differential equations applied in mathematical physics.