The relationship between the Box dimension of the Besicovitch functions and the orders of their fractional calculus

被引：31

作者：

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

Su, W. Y. ^{[2
]}

机构：

[1] Nanjing Univ Sci & Technol, Dept Appl Math, Nanjing 210093, Peoples R China

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

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2008年 / 200卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Besicovitch functions; graph; box dimension; upper box dimension; lower box dimension; K-dimension; fractional calculus;

D O I：

10.1016/j.amc.2007.11.014

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The relationship between the Box dimension of the Besicovitch functions and the orders of their fractional calculus has been investigated. On some special conditions, the linear connection between them has been proved, and the other case has also been discussed. (C) 2007 Elsevier Inc. All rights reserved.

引用

页码：297 / 307

页数：11

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