Box Dimension of Weyl Fractional Integral of Continuous Functions with Bounded Variation
Anal. Theory Appl., 32 (2016), pp. 174-180.
Published online: 2016-04
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@Article{ATA-32-174,
author = {L. Mu, K. Yao, Y. S. Liang and J. Wang},
title = {Box Dimension of Weyl Fractional Integral of Continuous Functions with Bounded Variation},
journal = {Analysis in Theory and Applications},
year = {2016},
volume = {32},
number = {2},
pages = {174--180},
abstract = {
We know that the Box dimension of $f(x)\in C^1[0,1]$ is 1. In this paper, we prove that the Box dimension of continuous functions with bounded variation is still 1. Furthermore, Box dimension of Weyl fractional integral of above function is also 1.
}, issn = {1573-8175}, doi = {https://doi.org/10.4208/ata.2016.v32.n2.6}, url = {http://global-sci.org/intro/article_detail/ata/4663.html} }
TY - JOUR
T1 - Box Dimension of Weyl Fractional Integral of Continuous Functions with Bounded Variation
AU - L. Mu, K. Yao, Y. S. Liang & J. Wang
JO - Analysis in Theory and Applications
VL - 2
SP - 174
EP - 180
PY - 2016
DA - 2016/04
SN - 32
DO - http://doi.org/10.4208/ata.2016.v32.n2.6
UR - https://global-sci.org/intro/article_detail/ata/4663.html
KW - Fractional calculus, box dimension, bounded variation.
AB -
We know that the Box dimension of $f(x)\in C^1[0,1]$ is 1. In this paper, we prove that the Box dimension of continuous functions with bounded variation is still 1. Furthermore, Box dimension of Weyl fractional integral of above function is also 1.
L. Mu, K. Yao, Y. S. Liang and J. Wang. (2016). Box Dimension of Weyl Fractional Integral of Continuous Functions with Bounded Variation.
Analysis in Theory and Applications. 32 (2).
174-180.
doi:10.4208/ata.2016.v32.n2.6
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