| 一类Weierstrass型函数的分数阶W-M导数图象的分形维数 |
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| 引用本文： | 李红娟.一类Weierstrass型函数的分数阶W-M导数图象的分形维数[J].太原理工大学学报,2011,42(6):665-668. |
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| 作者姓名： | 李红娟 |
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| 作者单位： | 太原理工大学理学院,太原,030024 |
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| 基金项目： | 太原理工大学校青年基金 |
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| 摘 要： | 通过对Weierstrass型函数变形,考虑了一类广义的Weierstrass型函数,这类分形函数图象的维数已求出,在此基础上应用Weyl-Marchaud分数阶导数(简称"W-M导数")的定义进一步求出了这类分形函数的分数阶导函数图像的维数。
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| 关 键 词： | Weierstrass型函数 ν阶分数阶Weyl-Marchaud导数 K-维数 |
The Fractal Dimension of Graph of the W-M Fractional Derivative of the Weierstrass-type Function |
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| LI Hong-juan.The Fractal Dimension of Graph of the W-M Fractional Derivative of the Weierstrass-type Function[J].Journal of Taiyuan University of Technology,2011,42(6):665-668. |
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| Authors: | LI Hong-juan |
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| Institution: | LI Hong-juan(College of Sciences of TUT,Taiyuan 030024,China) |
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| Abstract: | In the paper,by means of deforming Weierstrass function,we considered a kind of generalized Weierstrass-type function,of which the fractal dimension of graph has been calculated.On that basis,We applied the definition of the Weyl-Marchaud fractional derivative to calculate the fractal dimension of graph of the Weyl-Marchaud fractional derivative of the Weierstrass-type function. |
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