University of Tabriz Computational Methods for Differential Equations 2345-3982 12 2 2024 03 01 Modified simple equation method (MSEM) for solving nonlinear (3+1)-dimensional space-time fractional equations 413 424 16886 10.22034/cmde.2023.51930.2168 EN Mohammad Saeed Barikbin Department of Mathematics, Takestan branch, Islamic Azad University, Takestan, Iran Journal Article 2022 06 04 In the present paper, modified simple equation method (MSEM) is implemented for obtaining exact solutions of three nonlinear (3 + 1)-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 (3 + 1) - dimensional space-time fractional equations. https://cmde.tabrizu.ac.ir/article_16886_3907b478dcc84572a45d47e1c0bb930d.pdf