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.