TITLE:
Upper Bound Estimation of Fractal Dimensions of Fractional Integral of Continuous Functions
AUTHORS:
Yongshun Liang
KEYWORDS:
Box Dimension, Riemann-Liouville Fractional Calculus, Fractal Function
JOURNAL NAME:
Advances in Pure Mathematics,
Vol.5 No.1,
January
13,
2015
ABSTRACT: Fractional integral of continuous functions has been discussed in the present paper. If the order of Riemann-Liouville fractional integral is v, fractal dimension of Riemann-Liouville fractional integral of any continuous functions on a closed interval is no more than 2 - v.