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

Abstract

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

17 pages, 8 figures. arXiv admin note: text overlap with arXiv:2004.02365

References in corpus (1)

• A Caputo fractional derivative of a function with respect to another function