New approach to find exact solutions of time-fractional Kuramoto–Sivashinsky equation

•New novel method has been proposed.•The proposed method is well suited for fractional Kuramoto–Sivashinsky equation.•The performance of this method is reliable.•This method provides the exact travelling wave solutions.•Fractional Kuramoto–Sivashinsky equation has been first time solved by this method.

In the present paper, we construct the analytical exact solutions of a nonlinear evolution equation in mathematical physics, viz. time-fractional Kuramoto–Sivashinsky equation by a new proposed 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.