Analytical solutions for Navier-Stokes equations with $\psi$-Caputo fractional derivative
Analysis of PDEs
2020-05-13 v1
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 -Caputo time-fractional derivative. The solutions obtained for time-fractional Navier-Stokes equations are graphically presented.
Keywords
Cite
@article{arxiv.2005.05917,
title = {Analytical solutions for Navier-Stokes equations with $\psi$-Caputo fractional derivative},
author = {D. S. Oliveira and E. Capelas de Oliveira},
journal= {arXiv preprint arXiv:2005.05917},
year = {2020}
}
Comments
17 pages, 8 figures. arXiv admin note: text overlap with arXiv:2004.02365