Upper Bound Estimation of Fractal Dimensions of Fractional Integral of Continuous Functions - Advances in Pure Mathematics

APM > Vol.5 No.1, January 2015

Advances in Pure Mathematics

Volume 5, Issue 1 (January 2015)

ISSN Print: 2160-0368 ISSN Online: 2160-0384

Google-based Impact Factor: 0.48 Citations

Upper Bound Estimation of Fractal Dimensions of Fractional Integral of Continuous Functions ()

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Download as PDF (Size: 2558KB) PP. 27-30

DOI: 10.4236/apm.2015.51003 3,425 Downloads 4,857 Views Citations

Author(s)

Yongshun Liang^*

Affiliation(s)

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

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.

KEYWORDS

Box Dimension, Riemann-Liouville Fractional Calculus, Fractal Function

Share and Cite:

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.

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