Analytical solutions for Navier-Stokes equations with ψ-Caputo fractional derivative

2020/05/08 by Oliveira, D. S., de Oliveira, E. Capelas
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.2005.05917

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 ψ-Caputo time-fractional derivative. The solutions obtained for time-fractional Navier-Stokes equations are graphically presented.

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