TY - JOUR
T1 - On the Connection Between the Order of Riemann-Liouville Fractional Calculus and Hausdorff Dimension of a Fractal Function
AU - J. Wang, K. Yao & Y. S. Liang
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 - <p style="text-align: justify;">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.</p>