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This work aims to use the homotopy analysis method to obtain analyticalsolutions of linear time-fractional Navier-Stokes equations with cylindricalcoordinates and of a system of nonlinear time-fractional Navier-Stokesequations with Cartesian coordinates. These equations are described in the$\psi$-Caputo time-fractional derivative. The solutions obtained fortime-fractional Navier-Stokes equations are graphically presented.

Analytical solutions for Navier-Stokes equations with $\psi$-Caputo fractional derivative