TY - JOUR
ID - 16886
TI - Modified simple equation method (MSEM) for solving nonlinear (3+1)-dimensional space-time fractional equations
JO - Computational Methods for Differential Equations
JA - CMDE
LA - en
SN - 2345-3982
AU - Barikbin, Mohammad Saeed
AD - Department of Mathematics, Takestan branch, Islamic Azad University, Takestan, Iran
Y1 - 2024
PY - 2024
VL - 12
IS - 2
SP - 413
EP - 424
KW - Modified simple equation method (MSEM)
KW - Exact solutions
KW - ( 3 + 1 )- Dimensional fractional equations
KW - Conformable fractional derivative
DO - 10.22034/cmde.2023.51930.2168
N2 - 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.
UR - https://cmde.tabrizu.ac.ir/article_16886.html
L1 - https://cmde.tabrizu.ac.ir/article_16886_3907b478dcc84572a45d47e1c0bb930d.pdf
ER -