借助一个分数阶子方程和修正的Riemann-Liouville分数阶导数,基于扩展的(G'/G)-展开法,介绍了求解分数阶微分方程精确解的一种新方法,并利用该方法求解了(3+1)维时空分数阶mKdV-ZK方程,获得了该方程用双曲函数和三角函数等表示的精确解.%By means of a fractional sub-equation and the modified Riemann-Liouville fractional derivative,based on the extended (G'/G)-extended expansion method,a new method is introduced for seeking exact solutions of fractional differential equation.To illustrate the effectiveness of the method,(3+1)-dimensional space-time fractional mKdV-ZK equation is discussed,many types of exact solutions are obtained,these solutions include hyperbolic function,trigonometric and so on.
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