%0 Journal Article
%T Modified simple equation method (MSEM) for solving nonlinear (3+1)-dimensional space-time fractional equations
%J Computational Methods for Differential Equations
%I University of Tabriz
%Z 2345-3982
%A Barikbin, Mohammad Saeed
%D 2024
%\ 03/01/2024
%V 12
%N 2
%P 413-424
%! Modified simple equation method (MSEM) for solving nonlinear (3+1)-dimensional space-time fractional equations
%K Modified simple equation method (MSEM)
%K Exact solutions
%K ( 3 + 1 )- Dimensional fractional equations
%K Conformable fractional derivative
%R 10.22034/cmde.2023.51930.2168
%X 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.
%U https://cmde.tabrizu.ac.ir/article_16886_3907b478dcc84572a45d47e1c0bb930d.pdf