Different methods for (3+1)-dimensional space-time fractional modified KdV-Zakharov-Kuznetsov equation

In this paper, the fractional derivatives in the sense of modified Riemann-Liouville derivative and the exp-function method, the ( G ' G ) -expansion method and the generalized Kudryashov method?are used to construct exact solutions for ( 3 + 1 ) -dimensional space-time fractional modified KdV-Zakharov-Kuznetsov equation. This fractional equation can be turned into another nonlinear ordinary differential equation by fractional complex transformation and then these three methods are applied to solve it. As a result, some new exact solutions are obtained. The three methods demonstrate power, reliability and efficiency.

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