BOX DIMENSION OF WEYL-MARCHAUD FRACTIONAL DERIVATIVE OF LINEAR FRACTAL INTERPOLATION FUNCTIONS

被引：15

作者：

Peng, Wen Liang ^{[1
]}

Yao, Kui ^{[1
]}

Zhang, Xia ^{[2
]}

Yao, Jia ^{[1
]}

机构：

[1] Army Univ Engn PLA, Nanjing 211101, Jiangsu, Peoples R China

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

来源：

FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY | 2019年 / 27卷 / 04期

基金：

中国国家自然科学基金;

关键词：

Weyl-Marchaud Fractional Derivative; Box Dimension; Fractal Interpolation Functions; PARAMETER-IDENTIFICATION PROBLEM;

D O I：

10.1142/S0218348X19500580

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper mainly explores Weyl-Marchaud fractional derivative of linear fractal interpolation functions (FIFs). We prove that Weyl-Marchaud fractional derivative of a linear FIF is still a linear FIFs. More generally, we get a conclusion that there exists some linear relationship between the order of Weyl-Marchaud fractional derivative and box dimension of linear FIFs.

引用

页数：6

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