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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    2,763 Downloads   3,235 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.

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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.

Conflicts of Interest

The authors declare no conflicts of interest.

References

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