In this article, we introduce a new technique to create a series solution to the time-fractional Navier - Stokes equations is using a combination of the Laplace Transform with the residual power series method. Laurent series presented in the construction of the proposed method used for solving fractional physical equations. Speed and accuracy in extracting an exact or approximate solution are the most features of the new procedure. The proposed method examined two Navier-Stokes equations that representing the motion of flow in a pipe. Comparisons with previous methods and error analysis were performed to demonstrate the efficacy and accuracy of the technique.

在本文中，我们介绍了一种新技术来创建时间分数 Navier-Stokes 方程的级数解，该方法是使用拉普拉斯变换与剩余幂级数方法的组合。Laurent 级数在构造提出的用于求解分数物理方程的方法中提出。提取精确或近似解的速度和准确性是新程序的最大特点。所提出的方法检查了表示管道中流动的两个 Navier-Stokes 方程。与以前的方法和误差分析进行了比较，以证明该技术的有效性和准确性。