Stokes第一问题的分数阶导数解

FRACTIONAL DIFFERENTIATION SOLUTION OF STOKES' FIRST PROBLEM

给出了Ｓｔｏｋｅｓ第一问题基于Ｈｅａｖｉｓｉｄｅ的符号算子法的分数阶导数解，并把该解与传统的基于相似法得到的误差函数解进行了沟通．这是在流体力学中充分体现数学的明晰、简洁和统一的一个很好的例子．

In this paper, the fractional differentia- tion solution of Stokes' first problem based on Heav- iside symbolic operator method is presented. It can be transformed to the solution based on similarity method. This is a perfect example to show the clear- ness, brevity and uniformity of mathematics in fluid mechanics.