Exact solutions of $$(3+1)$$-dimensional fractional mKdV equations in conformable form via $$\exp (-\phi (\tau ))$$ expansion method

Abstract

In this study, three conformable (3 + 1)-dimensional fractional mKdV equations are explored via exp(− ( )) expansion method. A traveling wave transformation along with conformable derivative is used to transformed the nonlinear fractional differential equation into an ordinary differential equation. Then, the implementation of exp(− ( )) expansion method gives a variety of exact solutions of space-time fractional mKdV equations.