Modified simple equation method (MSEM) for solving nonlinear (۳+۱)-dimensional space-time fractional equations

In the present paper, modified simple equation method (MSEM) is implemented for obtaining exact solutions of three nonlinear (۳ + ۱)-dimensional space-time fractional equation, namely three types of modified Korteweg-de-Vries (mKdV) equations. Here, the derivatives are of the type of conformable fractional derivatives. The solving process produces a system of algebraic equations which is possible to be easily with no need of using software for determining unknown coefficients. Results show that this method can supply a powerful mathematical tool to construct exact solutions of mKdV equations and it can be employed for other nonlinear (۳ + ۱) - dimensional space-time fractional equations.

Keywords:

Modified simple equation method (MSEM) , Exact solutions , ( ۳ + ۱ )- Dimensional fractional equations , Conformable fractional derivative