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has been cited by the following article:
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.