Homotopy perturbation method for solution of q-fractional differential equations.

In this paper, we present a numerical method for solving nonlinear q-fractional differential equations(q-FDEs). Here, we consider q-fractional derivative in the Caputo sense. The homotopy perturbation method(HPM) is applied to construct the numerical solutions. Using homotopy technique in topology, a homotopy is built with an installing parameter s ∈ (0, 1), and is treated as a small parameter. Numerical provide the applicability and validity of this method. The proposed method is consistently valid for small parameters as well as for large parameters. [ABSTRACT FROM AUTHOR]