Fractal Dimension of Graph of Weierstrass Function and Its Derivative of the Fractional Order

数学季刊 ›› 1996, Vol. 11 ›› Issue (3): 50-54.

Fractal Dimension of Graph of Weierstrass Function and Its Derivative of the Fractional Order

Dept. of Math..Beijing Normal University of Science and Technology,Beijing,100875

收稿日期:1995-05-26 出版日期:1996-09-30 发布日期:2024-12-27
基金资助:
Project supported by National Natural Science Foundation of China．

Fractal Dimension of Graph of Weierstrass Function and Its Derivative of the Fractional Order

Dept. of Math..Beijing Normal University of Science and Technology,Beijing,100875

Received:1995-05-26 Online:1996-09-30 Published:2024-12-27
Supported by:
Project supported by National Natural Science Foundation of China．

摘要/Abstract

摘要： In this paper,we obtain the fractal dimension of the graph of the Weierstrass function, its derivative of the fractional order and the relation between the dimension and the order of the fractional derivative.

关键词: , fractals, dimension, Weierstrass function, fractional derivative:order of fractional , derivative

Abstract: In this paper,we obtain the fractal dimension of the graph of the Weierstrass function, its derivative of the fractional order and the relation between the dimension and the order of the fractional derivative.

Key words: , fractals, dimension, Weierstrass function, fractional derivative:order of fractional , derivative

中图分类号:

O174.1

邓冠铁. Fractal Dimension of Graph of Weierstrass Function and Its Derivative of the Fractional Order[J]. 数学季刊, 1996, 11(3): 50-54.

Deng Guantie. Fractal Dimension of Graph of Weierstrass Function and Its Derivative of the Fractional Order[J]. Chinese Quarterly Journal of Mathematics, 1996, 11(3): 50-54.

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Fractal Dimension of Graph of Weierstrass Function and Its Derivative of the Fractional Order

Fractal Dimension of Graph of Weierstrass Function and Its Derivative of the Fractional Order

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