The Weyl-Marchaud fractional derivative of a type of self-affine functions

被引：17

作者：

Zhang, Qi ^{[2
]}

Liang, Yongshun ^{[1
]}

机构：

[1] Nanjing Univ Sci & Technol, Sch Sci, Nanjing 210094, Jiangsu, Peoples R China

[2] Nanjing Univ Aeronaut & Astronaut, Inst Sci, Nanjing 210094, Jiangsu, Peoples R China

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2012年 / 218卷 / 17期

关键词：

Weierstrass function; Besicovitch function; Self-affine function; Weyl-Marchaud fractional derivative; Box dimension; WEIERSTRASS-TYPE FUNCTIONS; BESICOVITCH FUNCTIONS; FRACTAL DIMENSIONS; BOX DIMENSION; CALCULUS;

D O I：

10.1016/j.amc.2012.01.077

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The linear relationship between the Box dimension of certain self-affine functions and orders of the Weyl-Marchaud fractional derivative has been proved. The corresponding relationship of the Besicovitch function has been explored under different conditions. Crown Copyright (C) 2012 Published by Elsevier Inc. All rights reserved.

引用

页码：8695 / 8701

页数：7

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