variational homotopy perturbation method to fractional Navier-Stokes equation

variational homotopy perturbation method to fractional Navier-Stokes equation

In this paper, a couple of variational iteration method and perturbation method named frac- tional variational homotopy perturbation iteration method is applied to obtain the solutions of a time-fractional Navier-Stokes equation in a tube involving Jumarieʹs modified Riemann- Liouville derivative. By using an initial value, the explicit solution of the equation has been presented in the closed form. Two numerical examples clarify the effectiveness and accuracy of the considered method.