On the connection between the order of fractional calculus and the dimensions of a fractal function

被引：53
作者：
Yao, K [1 ]
Su, WY
Zhou, SP
机构：
[1] Nanjing Univ, Dept Math, Nanjing 210093, Peoples R China
[2] Zhejiang Inst Sci & Technol, Math Inst, Hangzhou 310018, Peoples R China
来源：
CHAOS SOLITONS & FRACTALS | 2005年 / 23卷 / 02期
基金：
中国国家自然科学基金;
关键词：
D O I：
10.1016/j.chaos.2004.05.037
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The present paper investigates the fractional calculus of a type of Weierstrass functions. It is proven that there exists some linear connection between the order of the fractional calculus and the dimensions of the graphs of the Weierstrass function. (C) 2004 Elsevier Ltd. All rights reserved.
引用
收藏
页码：621 / 629
页数：9
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