In this paper, an approximate similarity solution of a fractional laminar boundary layer of viscous fluid flow over an infinite vertical plate has been presented. We introduce new fractional similarity transformations to convert the partial differential equation into a similarity ordinary differential equation with a fractional context. The viscous term of the flow momentum equation is written based on the Caputo fractional derivative. The proposed analytical solution has been developed using fractional power-series technique, and the convergence of the solution has been examined. The velocity distributions with the similarity variable are plotted against different values of the fractional order to illustrate the effects of fractional argument on the velocity behavior.

中文翻译：

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无限垂直板上空间分数边界层流的近似相似解

在本文中，提出了粘性层流在无限垂直板上的分数层流边界层的近似相似解。我们引入新的分数相似度变换，将偏微分方程转换为具有分数上下文的相似常微分方程。流动动量方程的粘性项基于Caputo分数导数编写。所提出的分析解决方案已使用分数幂级数技术进行了开发，并且已经研究了该解决方案的收敛性。针对分数阶的不同值绘制具有相似性变量的速度分布，以说明分数自变量对速度行为的影响。