Application of homotopy analysis method to fractional KdV–Burgers–Kuramoto equation

In the Letter, homotopy analysis method that developed for integer-order differential equation is directly extended to derive explicit and numerical solutions of nonlinear fractional differential equation for the first time. The fractional derivatives are described in the Caputo sense. To our knowledge, the Letter represents the first available numerical solutions of the fractional KdV–Burgers–Kuramoto equation.