Summary: We present a framework to obtain analytical approximate solutions to a nonlinear fractional convection-diffusion equation. The fractional derivative is considered in the Caputo sense. The applications of J. He
’s homotopy perturbation method [Comput. Methods Appl. Mech. Eng. 178, No. 3–4, 257–262 (1999; Zbl 0956.70017
)] are extended to derive analytical solutions in the form of a series with easily computed terms for this equation. Some examples are tested and the results reveal that the technique introduced here is very effective and convenient for solving nonlinear partial differential equations of fractional order.