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On the Connection between the Order of Riemann-Liouvile Fractional Calculus and Hausdorff Dimension of a Fractal Function |
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| Authors: | Jun Wang Kui Yao Yongshun Liang |
| Institution: | 1. Institue of Science, PLA University of Science and Technology, Nanjing 211101,China;2. Institue of Science, Nanjing University of Science and Technology, Nanjing 210094,China |
| Abstract: | This paper investigates the fractal dimension of the fractional integrals of a fractal function.It has been proved that there exists some linear connection between the order of Riemann-Liouvile fractional integrals and the Hausdorff dimension of a fractal function. |
| Keywords: | Fractional calculus Hausdorff dimension Riemann-Liouvile fractional integral |
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