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Fractal Dimension of Graph of Weierstrass Function and Its Derivative of the Fractional Order
引用本文:邓冠铁. Fractal Dimension of Graph of Weierstrass Function and Its Derivative of the Fractional Order[J]. 数学季刊, 1996, 0(3)
作者姓名:邓冠铁
作者单位:Dept.of Math. .Beijing Normal University of Science and Technology,Beijing,100875
基金项目:Project supported by National Natural Science Foundation of China.
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.


Fractal Dimension of Graph of Weierstrass Function and Its Derivative of the Fractional Order
Deng Guantie. Fractal Dimension of Graph of Weierstrass Function and Its Derivative of the Fractional Order[J]. Chinese Quarterly Journal of Mathematics, 1996, 0(3)
Authors:Deng Guantie
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.
Keywords:fractals  dimension  Weierstrass function  fractional derivative  order of fractional derivative
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