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.
出处
《哈尔滨师范大学自然科学学报》
CAS
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)
关键词
分数阶导数
分数阶积分
初等函数
几何意义
Fractional derivative
Fractional integral
Basic elementary functions
Geometric meaning
