Abstract
In this study, we are interested in exploring the conformable space-time fractional mKdV equations via hyperbolic function approach. A traveling wave transformation and the conformable derivative are used to convert the nonlinear fractional differential equation into a nonlinear ordinary differential equation. Then, the resulting equation is elucidated by utilizing the hyperbolic function approach through Mathematica. A variety of soliton type solutions including, hyperbolic and trigonometric functions, is formulated and the graphical representation for these solutions is given by using MATLAB. (C) 2019 The Authors. Production and hosting by Elsevier B.V. on behalf of King Saud University.