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Upper Bound Estimation of Fractal Dimensions of Fractional Integral of Continuous Functions
Faculty of Science, Nanjing University of Science and Technology, Nanjing, China
- 1 Faculty of Science, Nanjing University of Science and Technology, Nanjing, China
Advances in Pure Mathematics·Volume 05 (2015)·Pages 27–30·Published 12 January 2015·DOI10.4236/apm.2015.51003
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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.
KeywordsBox DimensionRiemann-Liouville Fractional CalculusFractal Function
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