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.
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