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

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DOI: 10.4236/apm.2015.51003    2,660 Downloads   3,045 Views   Citations
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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.

Conflicts of Interest

The authors declare no conflicts of interest.

Cite this paper

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.

References

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