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.
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