A new method on Box dimension of Weyl-Marchaud fractional derivative of Weierstrass function

被引：12

作者：

Yao, Kui ^{[1
]}

Chen, Haotian ^{[1
]}

Peng, W. L. ^{[1
]}

Wang, Zekun ^{[1
]}

Yao, Jia ^{[1
]}

Wu, Yipeng ^{[1
]}

机构：

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

来源：

CHAOS SOLITONS & FRACTALS | 2021年 / 142卷

基金：

中国国家自然科学基金;

关键词：

Weyl-Marchaud fractional derivative; Box dimension; Oscillation and iteration estimating; Weierstrass function;

D O I：

10.1016/j.chaos.2020.110317

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A new method is applied to calculating fractal dimensions of fractional calculus of some fractal functions, by this method, we obtain Box dimension of Weyl-Marchaud fractional derivative of Weierstrass function. (C) 2020 Published by Elsevier Ltd.

引用

页数：5

共 50 条

[1] ON THE BOX DIMENSION OF WEYL-MARCHAUD FRACTIONAL DERIVATIVE AND LINEARITY EFFECT
Chandra, Subhash
Abbas, Syed
Liang, Yongshun
[J]. FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY, 2023, 31 (05)
[2] The fractal dimensions of graphs of the Weierstrass function with the Weyl-Marchaud fractional derivative
Liang, Yongshun
Yao, Kui
Xiao, Wei
[J]. ISND 2007: PROCEEDINGS OF THE 2007 INTERNATIONAL SYMPOSIUM ON NONLINEAR DYNAMICS, PTS 1-4, 2008, 96
[3] BOX DIMENSION OF WEYL-MARCHAUD FRACTIONAL DERIVATIVE OF LINEAR FRACTAL INTERPOLATION FUNCTIONS
Peng, Wen Liang
Yao, Kui
Zhang, Xia
Yao, Jia
[J]. FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY, 2019, 27 (04)
[4] The fractal dimensions of graphs of the Weyl-Marchaud fractional derivative of the Weierstrass-type function
Yao, K.
Liang, Y. S.
Fang, J. X.
[J]. CHAOS SOLITONS & FRACTALS, 2008, 35 (01) : 106 - 115
[5] ANALYSIS OF MIXED WEYL-MARCHAUD FRACTIONAL DERIVATIVE AND BOX DIMENSIONS
Chandra, Subhash
Abbas, Syed
[J]. FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY, 2021, 29 (06)
[6] ANALYSIS ON WEYL-MARCHAUD FRACTIONAL DERIVATIVE FOR TYPES OF FRACTAL INTERPOLATION FUNCTION WITH FRACTAL DIMENSION
Priyanka, T. M. C.
Gowrisankar, A.
[J]. FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY, 2021, 29 (07)
[7] THE UPPER BOUND OF BOX DIMENSION OF THE WEYL-MARCHAUD DERIVATIVE OF SELF-AFFINE CURVES
Kui Yao (PLA University of Science and Technology
[J]. Analysis in Theory and Applications, 2010, 26 (03) : 222 - 227
[8] Weyl-Marchaud fractional derivative of a vector valued fractal interpolation function with function contractivity factors
Priyanka, T. M. C.
Agathiyan, A.
Gowrisankar, A.
[J]. JOURNAL OF ANALYSIS, 2023, 31 (01): : 657 - 689
[9] The Weyl-Marchaud fractional derivative of a type of self-affine functions
Zhang, Qi
Liang, Yongshun
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2012, 218 (17) : 8695 - 8701
[10] On the variable order Weyl-Marchaud fractional derivative of non-affine fractal function
Chinnathambi, Kavitha
Gowrisankar, A.
[J]. JOURNAL OF ANALYSIS, 2024, 32 (01): : 3 - 18

← 1 2 3 4 5 →