The Fractional Derivatives of a Fractal Function  

作　　者：Kui YAO Wei Yi SU Song Ping ZHOU 

机构地区：[1]Department of Mathematics,Nanjing University and PLA University of Sci-Tech [2]Department of Mathematics,Nanjing University [3]Institute of Mathematics,Zhejiang Sci-Tech University

出　　处：《Acta Mathematica Sinica,English Series》2006年第3期719-722,共4页数学学报（英文版）

基　　金：supported by NSFC(10041005)

摘　　要：The present paper investigates the fractional derivatives of Weierstrass function, proves that there exists some linear connection between the order of the fractional derivatives and the dimension of the graphs of Weierstrass function.The present paper investigates the fractional derivatives of Weierstrass function, proves that there exists some linear connection between the order of the fractional derivatives and the dimension of the graphs of Weierstrass function.

关 键 词：Weierstrass function fractional derivatives dimensions of graphs of functions 

分 类 号：O174[理学—数学]