On the Connection Between the Order of Riemann-Liouville Fractional Calculus and Hausdorff Dimension of a Fractal Function
Anal. Theory Appl., 32 (2016), pp. 283-290.
Published online: 2016-07
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@Article{ATA-32-283,
author = {},
title = {On the Connection Between the Order of Riemann-Liouville Fractional Calculus and Hausdorff Dimension of a Fractal Function},
journal = {Analysis in Theory and Applications},
year = {2016},
volume = {32},
number = {3},
pages = {283--290},
abstract = {
This paper investigates the fractal dimension of the fractional integrals of a fractal function. It has been proved that there exists some linear connection between the order of Riemann-Liouville fractional integrals and the Hausdorff dimension of a fractal function.
}, issn = {1573-8175}, doi = {https://doi.org/10.4208/ata.2016.v32.n3.6}, url = {http://global-sci.org/intro/article_detail/ata/4671.html} }
TY - JOUR
T1 - On the Connection Between the Order of Riemann-Liouville Fractional Calculus and Hausdorff Dimension of a Fractal Function
JO - Analysis in Theory and Applications
VL - 3
SP - 283
EP - 290
PY - 2016
DA - 2016/07
SN - 32
DO - http://doi.org/10.4208/ata.2016.v32.n3.6
UR - https://global-sci.org/intro/article_detail/ata/4671.html
KW - Fractional calculus, Hausdorff dimension, Riemann-Liouville fractional integral.
AB -
This paper investigates the fractal dimension of the fractional integrals of a fractal function. It has been proved that there exists some linear connection between the order of Riemann-Liouville fractional integrals and the Hausdorff dimension of a fractal function.
J. Wang, K. Yao & Y. S. Liang. (1970). On the Connection Between the Order of Riemann-Liouville Fractional Calculus and Hausdorff Dimension of a Fractal Function.
Analysis in Theory and Applications. 32 (3).
283-290.
doi:10.4208/ata.2016.v32.n3.6
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