Author(s)

Yongshun Liang^*

Faculty of Science, Nanjing University of Science and Technology, Nanjing, China.

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.

Box Dimension, Riemann-Liouville Fractional Calculus, Fractal Function

Liang, Y. (2015) Upper Bound Estimation of Fractal Dimensions of Fractional Integral of Continuous Functions. Advances in Pure Mathematics, 5, 27-30. doi: 10.4236/apm.2015.51003.