分形曲线的局部分数阶导数

2008 IEEE International Conference on Signal Image Technology and Internet Based Systems Pub Date : 2008-11-30 DOI:10.1109/SITIS.2008.37

Hicham Bensoudane, C. Gentil, M. Neveu

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引用次数: 5

摘要

迭代函数系统(IFS)描述的分形曲线一般是非整数导数。为此，我们用分数阶导数来研究曲线的可微性。提出了一种利用IFS性质计算曲线局部分数阶导数的方法。并给出了分形曲线左右半切线斜率的IFS的一些例子。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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The Local Fractional Derivative of Fractal Curves

Fractal curves described by iterated function system (IFS) are generally non-integer derivative. For that we use fractional derivative to investigate differentiability of this curves. We propose a method to calculate local fractional derivative of a curve from IFS property. Also we give some examples of IFS representing the slopes of the right and left half-tangent of the fractal curves.

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2008 IEEE International Conference on Signal Image Technology and Internet Based Systems

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