Regularization of derivatives on non-differentiable points

被引：9
|
作者：
Prodanov, Dimiter [1 ]
机构：
[1] IMEC, Neurosci Res Flanders, Dept Environm Hlth & Safety, Leuven, Belgium
来源：
EMQM15: EMERGENT QUANTUM MECHANICS 2015 | 2016年 / 701卷
关键词：
D O I：
10.1088/1742-6596/701/1/012031
中图分类号：
O3 [力学];
学科分类号：
08 ; 0801 ;
摘要：
The notion of derivative is limited only to the idealization of linear growth. The paper presents a formal regularization procedure for the derivatives of functions using the fractional velocity, i.e. a local fractional derivation operation. The approach can be applied in strongly non-linear or fractal settings, such as singular functions, Brownian motion, quantum paths, etc.
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页数：2
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