Fractional Order Generalized Information

被引：120
作者：
Machado, Jose Tenreiro [1 ]
机构：
[1] Polytech Porto, Inst Engn, Dept Elect Engn, P-4200072 Oporto, Portugal
来源：
ENTROPY | 2014年 / 16卷 / 04期
关键词：
information; entropy; fractional calculus; ENTROPY ANALYSIS; TSALLIS ENTROPY; DYNAMICS; DERIVATIVES; SHANNON; SYSTEM;
D O I：
10.3390/e16042350
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
This paper formulates a novel expression for entropy inspired in the properties of Fractional Calculus. The characteristics of the generalized fractional entropy are tested both in standard probability distributions and real world data series. The results reveal that tuning the fractional order allow an high sensitivity to the signal evolution, which is useful in describing the dynamics of complex systems. The concepts are also extended to relative distances and tested with several sets of data, confirming the goodness of the generalization.
引用
收藏
页码：2350 / 2361
页数：12
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