The fractal dimensions of graphs of the Weierstrass function with the Weyl-Marchaud fractional derivative

被引：0
|
作者：
Liang, Yongshun [1 ]
Yao, Kui [2 ,3 ]
Xiao, Wei [4 ]
机构：
[1] Nanjing Univ Sci & Technol, Sch Sci, Nanjing 210094, Peoples R China
[2] PLA Univ Sci & Technol, Nanjing 210093, Jiangsu, Peoples R China
[3] Chuzhou Univ, Math Inst, Chuzhou 239000, Peoples R China
[4] Nanjing Univ Sci & Technol, Sch Sci, Nanjing 210094, Jiangsu, Peoples R China
来源：
ISND 2007: PROCEEDINGS OF THE 2007 INTERNATIONAL SYMPOSIUM ON NONLINEAR DYNAMICS, PTS 1-4 | 2008年 / 96卷
基金：
中国国家自然科学基金;
关键词：
D O I：
10.1088/1742-6596/96/1/012111
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The fractal dimensions of graphs of the Weierstrass function with the Weyl-Merchaud fractional derivative are calculated with the techniques of K-measure and K-dimension. And the linear-relationship between the fractal dimensions of graphs of the Weierstrass function and the orders of their Weyl-Marchaud fractional derivative is obtained. Graphs and numerical results of a given example verify this interesting connection.
引用
收藏
页数：6
相关论文
共 25 条
123