| The Fractional Derivatives of a Fractal Function |
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| 引用本文： | Kui YAO Wei Yi SU Song Ping ZHOU. The Fractional Derivatives of a Fractal Function[J]. 数学学报(英文版), 2006, 22(3): 719-722. DOI: 10.1007/s10114-005-0644-z |
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| 作者姓名： | Kui YAO Wei Yi SU Song Ping ZHOU |
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| 作者单位： | [1]Department of Mathematics, Nanjing University and PLA University of Sci-Tech, Nanjing 210006, P. R. China [2]Department of Mathematics, Nanjing University, Nanjing 210093, P. R. China [3]Institute of Mathematics, Zhejiang Sci- Tech University, Hangzhou 310000 P. R. China |
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| 基金项目： | This work is supported by NSFC （10041005） |
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| 摘 要： |
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| 关 键 词： | 维尔斯特拉斯函数 函数图维度 分数导数 线性连接 |
| 收稿时间： | 2003-11-10 |
| 修稿时间： | 2003-11-102004-02-06 |
The Fractional Derivatives of a Fractal Function |
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| Kui Yao,Wei Yi Su,Song Ping Zhou. The Fractional Derivatives of a Fractal Function[J]. Acta Mathematica Sinica(English Series), 2006, 22(3): 719-722. DOI: 10.1007/s10114-005-0644-z |
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| Authors: | Kui Yao Wei Yi Su Song Ping Zhou |
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| Affiliation: | (1) Department of Mathematics, Nanjing University, Nanjing 210093, P. R. China;(2) Department of Mathematics, PLA University of Sci–Tech, Nanjing 210006, P. R. China;(3) Institute of Mathematics, Zhejiang Sci–Tech University, Hangzhou 310000, P. R. China |
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| Abstract: | The present paper investigates the fractional derivatives of Weierstrass function, proves that there exists some linear connection between the order of the fractional derivatives and the dimension of the graphs of Weierstrass function. |
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| Keywords: | Weierstrass function fractional derivatives dimensions of graphs of functions |
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