分数阶导数、积分的性质及几何意义  

The Properties and Geometric Meaning of Fractional Derivative and Fractional Integral

作　　者：武女则[1] 

机构地区：[1]天津外国语大学

出　　处：《哈尔滨师范大学自然科学学报》2013年第1期19-22,共4页Natural Science Journal of Harbin Normal University

基　　金：天津市高等教育学会"十二五"教育科学规划研究课题(125q186)

摘　　要：介绍了分数阶微积分的历史、分数阶导数和积分的定义,接着给出了分数阶导数、积分的性质,研究了基本初等函数的分数阶导数,以及分数阶积分的结果.最后,给出了分数阶导数、积分的几何意义.The history of fractional calculus, the definition of fractional derivative and fractional integral are described . Then the properties of fractional derivative and fractional integral are given, the results about the fractional derivative and fractional integral of the basic elementary functions are discussed . Finally, the geometric meaning of the fractional integral are also discussed.

关 键 词：分数阶导数 分数阶积分 初等函数 几何意义 

分 类 号：O37[理学—流体力学]