Exact Solutions for Some Fractional Partial Differential Equations by the (G′G)‎ Method

الملخص EN

We apply the (G′/G) method to seek exact solutions for several fractional partial differential equations including the space-time fractional (2 + 1)-dimensional dispersive long wave equations, the (2 + 1)-dimensional space-time fractional Nizhnik-Novikov-Veselov system, and the time fractional fifth-order Sawada-Kotera equation.

The fractional derivative is defined in the sense of modified Riemann-liouville derivative.

Based on a certain variable transformation, these fractional partial differential equations are transformed into ordinary differential equations of integer order.

With the aid of mathematical software, a variety of exact solutions for them are obtained.