Liang, Y.S. (2010) Box Dimension of Riemann-Liouville Fractional Integral of Continuous Function of Bounded Variation. Nonlinear Analysis Series A: Theory, Method and Applications, 72, 2758-2761.

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.