The relationship between the fractal dimensions of a type of fractal functions and the order of their fractional calculus

Y.S. Liang; W.Y. Su

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The relationship between the fractal dimensions of a type of fractal functions and the order of their fractional calculus

机译：一类分形函数的分形维数与其分数演算阶数之间的关系

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摘要

The present paper investigate the relationship between the Hausdorff dimension of a type of fractal functions and the order of their Riemann–Liouville fractional calculus. Two examples of obvious practical value have been shown.

机译：本文研究了一类分形函数的Hausdorff维数与其Riemann-Liouville分数演算阶数之间的关系。给出了两个具有明显实用价值的例子。

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《Chaos, Solitons and Fractals: Applications in Science and Engineering: An Interdisciplinary Journal of Nonlinear Science 》 |2007年第3期| 共11页
作者
Y.S. Liang; W.Y. Su;
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正文语种 eng
中图分类微分方程、积分方程 ;
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1. The relationship between the fractal dimensions of a type of fractal functions and the order of their fractional calculus [J] . Y.S. Liang, W.Y. Su Chaos, Solitons and Fractals: Applications in Science and Engineering: An Interdisciplinary Journal of Nonlinear Science . 2007 ,第3期

机译：一类分形函数的分形维数与其分数演算阶数之间的关系
2. CONNECTION BETWEEN THE ORDER OF FRACTIONAL CALCULUS AND FRACTIONAL DIMENSIONS OF A TYPE OF FRACTAL FUNCTIONS [J] . 无分析、理论与应用（英文版） . 2007 ,第004期

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3. PROGRESS ON ESTIMATION OF FRACTAL DIMENSIONS OF FRACTIONAL CALCULUS OF CONTINUOUS FUNCTIONS [J] . Liang Yong-Shun Fractals: An interdisciplinary journal on the complex geometry of nature . 2019 ,第5期

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5. Zeta functions, complex dimensions of fractal strings and multifractal analysis of mass distributions. [D] . Rock, John Alexander. 2007

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The relationship between the fractal dimensions of a type of fractal functions and the order of their fractional calculus

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