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arXiv · 2005.05917

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

D. S. Oliveira·E. Capelas de Oliveira
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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.

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D. S. Oliveira, E. Capelas de Oliveira. 2020-05-08. Analytical solutions for Navier-Stokes equations with $\psi$-Caputo fractional derivative. https://arxiv.org/abs/2005.05917

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