Analytical Approach for the Space-time Nonlinear Partial Differential Fractional Equation

摘要

In this paper, the fractional derivatives in the sense of modified Riemann-Liouville derivative and the functional variable method, exp-function method and (G'/G)-expansion method are used to construct exact solutions for some nonlinear partial fractional differential equations via the nonlinear space-time fractional (2 + 1)-dimensional breaking soliton equations. These methods are also applied to derive a variety of travelling wave solutions with distinct physical structures for this nonlinear fractional equation. As a result, some new exact solutions for them are obtained. The three methods demonstrate power, reliability and efficiency.