A Novel Analytical Method with Fractional Complex Transform for New Exact Solutions of Time-Fractional Fifth-Order Sawada-Kotera Equation

In the present paper, we construct analytical exact solutions of a nonlinear evolution equation in mathematical physics; namely the time-fractional fifth-order Sawada–Kotera equation by the tanh–sech method via fractional complex transform. As a result, new types of exact analytical solutions are obtained. Here the fractional derivative is described in Jumarie's modified Riemann-Liouville sense.