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RESEARCH ANNOUNCEMENTS:On the Fractional Calculus of a Type of Weierstrass Functions
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.
作者姓名:姚奎  张霞
作者单位:[1]Dept.ofMath.ZhejiangUNiv.,Hangzhou,Zhejiang,310028,P.R.China [2]Dept.ofMath.,NUST,Nanjing,Jiangsu,210094,P.R.China
基金项目:This work is supported by the National Natural Science Foundation of China (No: 10141001).
摘    要: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.

关 键 词:小数计算  Weierstrass函数  类型
修稿时间:2002年5月19日

On the Fractional Calculus of a Type of Weierstrass Functions
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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