Resumen de Analytical solutions for Navier–Stokes equations with Caputo fractional derivative
D. S. Oliveira, E. Capelas de Oliveira
This work aims to use the homotopy analysis method to obtain analytical solutions of the linear time-fractional Navier–Stokes equation with cylindrical coordinates and also of a system of nonlinear time-fractional Navier–Stokes equations with Cartesian coordinates. These equations are described by means of ψ-Caputo fractional derivative in time and contain results of particular cases given in the literature. The solutions obtained for time-fractional Navier–Stokes equations are graphically presented.
