Numerical simulation for fractional nonlinear (1Â +Â 1)-dimensional Biswas-Milovic equation

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.