Solitary wave solutions for time fractional third order modified KdV equation using two reliable techniques (G′/G)(G′/G)-expansion method and improved (G′/G)(G′/G)-expansion method

• As a result, new types of exact analytical solutions are obtained.
• The paper is novel and worthy.
• It desires publication in this esteemed journal.

In the present paper, we construct the analytical exact solutions of a nonlinear evolution equation in mathematical physics; namely time fractional modified KdV equation by using (G′/GG′/G)-expansion method and improved (G′/GG′/G)-expansion method. As a result, new types of exact analytical solutions are obtained.