Fractional Order Generalized Information

نویسنده

  • José Tenreiro Machado
چکیده

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.

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عنوان ژورنال:
  • Entropy

دوره 16  شماره 

صفحات  -

تاریخ انتشار 2014