Box Dimension of Weyl Fractional Integral of Continuous Functions with Bounded Variation |
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| Authors: | Lei Mu Kui Yao Yongshun Liang Jun Wang |
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| Institution: | 1. Institute of Science, PLA University of Science and Technology, Nanjing, Jiangsu 211101, China;2. Institute of Science, Nanjing University of Science and Technology, Nanjing, Jiangsu 210094, China |
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| Abstract: | We know that the Box dimension of f (x)∈C10,1] is 1. In this paper, we prove that the Box dimension of continuous functions with bounded variation is still 1. Furthermore, Box dimension of Weyl fractional integral of above function is also 1. |
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| Keywords: | Fractional calculus box dimension bounded variation |
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