Fractional Complex Transforms for Fractional Differential Equations
نویسنده
چکیده
The aim of this paper is by using the fractional complex transform and the optimal homotopy analysis by method (OHAM) to find the analytical approximate solutions for nonlinear partial fractional differential Zakharov-Kuznetsov equation. Fractional complex transformation is proposed to convert nonlinear partial fractional differential Zakharov-Kuznetsov equation to nonlinear partial differential equations. Also, we use the optimal homotopy analysis method (OHAM) to solve the obtained nonlinear PDEs. This optimal approach has general meaning and can be used to get the fast convergent series solution of the different type of nonlinear partial fractional differential equations. The results reveal that this method is very effective and powerful to obtain the approximate solutions. .
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