In this paper, we apply Fractional variational iteration method (FVIM) to solve a time-fractional Navier–Stokes equation arising in a tube. We consider fractional derivative in the sense of Rieman-Liouville. We use given initial condition to find analytic and numerical solution explicitly in a closed form. Exact solution and numerical solution is presented using graphs and comparison between exact solution and numerical solution shows that used method is a good technique to handle linear and nonlinear phenomenon in the various fields of nature and day today life.
Fractional variational iteration method, fractional Navier–Stokes equation, Rieman-Liouville derivative, analytic solution
