| 一个分形函数的分数阶微积分函数 |
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| 引用本文： | 姚奎,苏维宜,周颂平. 一个分形函数的分数阶微积分函数[J]. 高校应用数学学报(英文版), 2002, 17(4): 377-381. DOI: 10.1007/s11766-996-0001-8 |
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| 作者姓名： | 姚奎 苏维宜 周颂平 |
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| 作者单位： | [1]Dept.ofMath.,ZhejiangUniv.,Hangzhou310028,China [2]Dept.ofMath.,NanjingUniv.,Nanjing210093,China [3]InstituteofMath.,NingboUniv.,Ningbo315211,China |
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| 基金项目： | National Natural Science Foundation of Zhejiang Province |
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| 摘 要： | Based on the combination of fractional calculus with fractal functions, a new type of is introduced; the definition, graph, property and dimension of this function are discussed.
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| 关 键 词： | 不规则碎片形 馏分 微积分学 分型函数 豪斯多夫尺度 |
| 收稿时间： | 2001-12-05 |
On the fractional calculus functions of a fractal function |
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| Kui Yao,Weiyi Su,Songping Zhou. On the fractional calculus functions of a fractal function[J]. Applied Mathematics A Journal of Chinese Universities, 2002, 17(4): 377-381. DOI: 10.1007/s11766-996-0001-8 |
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| Authors: | Kui Yao Weiyi Su Songping Zhou |
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| Affiliation: | Dept.of Math., Zhejiang Univ., Hangzhou 310028,China;Dept.of Math., Nanjing Univ., Nanjing 210093,China;Institute of Math., Ningbo Univ., Ningbo 315211,China |
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| Abstract: | Based on the combination of fractional calculus with fractal functions, a new type of functions is introduced; the definition, graph, property and dimension of this function are discussed. |
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| Keywords: | fractal function fractional calculus box dimension Hausdorff dimension. |
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