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Falconer, J. (1990) Fractal Geometry: Mathematical Foundations and Applications. John Wiley Sons Inc., New York.

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.