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 - <p style="text-align: justify;">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.</p>