摘要
分数阶微积分的概念,作为微积分理论的发展早已提出,它是研究分形,分形函数,分形分析的重要工具。而分数阶微积分的定义有各种不同形式,文章给出了分形函数的一种重要的分数阶积分和分数阶微分定义,且针对这种分数阶微积分的定义研究了它的一些性质。
Conception of fractional calculous has been proposed early as development of calculous theory.It is a useful tool for the research on fractal,fractal function,fractal analysis.Besides the conception of fractional calculous has various forms.This paper puts forward an important conception for fractional intergral and fractional differential of fractal function and conducted research on the character of conception of fractional calculous.
出处
《忻州师范学院学报》
2010年第2期20-22,共3页
Journal of Xinzhou Teachers University
关键词
分形函数
分数阶
分数阶微分
分数阶积分
fractal function
fractional order
fractional intergral
fractional differential