In this paper, an efficient numerical method for the solution of fractional nonlinear (1 + 1)-
dimensional Biswas–Milovic equation based on the homotopy perturbation method is
presented. Two kinds of fractional differentiation, namely space- and space–time-fractional
ones are considered. The Caputo sense of fractional derivatives are investigated. Application
of homotopy perturbation method shows that this method is a promising algorithm to
solve wide classes of nonlinear fractional order partial differential equations with complex
solutions.
