The relationship between the fractal dimensions of a type of fractal functions and the order of their fractional calculus

被引：51

作者：

Liang, Y. S. ^{[1
]}

Su, W. Y. ^{[1
]}

机构：

[1] Nanjing Univ, Dept Math, Nanjing 210093, Peoples R China

来源：

CHAOS SOLITONS & FRACTALS | 2007年 / 34卷 / 03期

基金：

中国国家自然科学基金;

关键词：

D O I：

10.1016/j.chaos.2006.01.124

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The present paper investigate the relationship between the Hausdorff dimension of a type of fractal functions and the order of their Riemann-Liouville fractional calculus. Two examples of obvious practical value have been shown. (C) 2007 Elsevier Ltd. All rights reserved.

引用

页码：682 / 692

页数：11

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