论文标题
Navier-Stokes方程的分析解决方案，$ψ$ -CAPUTO分数衍生物
Analytical solutions for Navier-Stokes equations with $ψ$-Caputo fractional derivative
论文作者
论文摘要
这项工作旨在使用均匀分析方法来获得具有圆柱坐标的线性时间折叠式Navier-Stokes方程的分析解决方案，以及具有笛卡尔坐标的非线性时间 - 裂缝Navier-Stokes方程的系统。这些方程式在$ψ$ -CAPUTO的时间折时衍生物中描述。图形介绍了用于时间分数Navier-Stokes方程的解决方案。
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.
