A Semianalytical Approach to the Solution of Time-Fractional Navier-Stokes Equation

In this manuscript, a semianalytical solution of the time-fractional Navier-Stokes equation under Caputo fractional derivatives using Optimal Homotopy Asymptotic Method (OHAM) is proposed. The above-mentioned technique produces an accurate approximation desired solutions and hence known as approach. main advantage OHAM that it does not require any small perturbations, linearization, or discretization many reductions computations. Here, proposed approach’s reliability efficiency are demonstrated by two applications one-dimensional motion viscous fluid in tube governed flow field converting them to equations cylindrical coordinates sense Caputo. For first problem, provides exact solution, for second performs highly numerical compare with solution. presented simulation results comparison analytical approaches reveal method efficient simulate types equation.