| RESEARCH ANNOUNCEMENTS：On the Fractional Calculus of a Type of Weierstrass Functions |
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| 引用本文： | 姚奎,张霞. RESEARCH ANNOUNCEMENTS：On the Fractional Calculus of a Type of Weierstrass Functions[J]. 数学进展, 2002, 31(5): 483-484 |
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| 作者姓名： | 姚奎 张霞 |
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| 作者单位： | [1]Dept.ofMath.ZhejiangUNiv.,Hangzhou,Zhejiang,310028,P.R.China [2]Dept.ofMath.,NUST,Nanjing,Jiangsu,210094,P.R.China |
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| 基金项目： | This work is supported by the National Natural Science Foundation of China (No: 10141001). |
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| 摘 要： | I IntroductionIn recent years, fractals have shown important applications in many fields. [1, 2] and [3] havedone some excellent initial and conclusion work on fractal and it's mathematical foundations.However, a fractal function: a type of Weierstrass functions defined bybecause of it's special fractal properties, [1,2, 4, 5] have given some detailed discussion about it'sgraph, fractal dimension, etc.
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| 关 键 词： | 小数计算 Weierstrass函数 类型 |
| 修稿时间： | 2002-05-19 |
On the Fractional Calculus of a Type of Weierstrass Functions |
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| Abstract: | I Introduction In recent years, fractals have shown important applications in many fields. [1, 2] and [3] havedone some excellent initial and conclusion work on fractal and it's mathematical foundations.However, a fractal function: a type of Weierstrass functions defined bybecause of it's special fractal properties, [1,2, 4, 5] have given some detailed discussion about it'sgraph, fractal dimension, etc. |
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