Fractional Order Generalized Information
AbstractThis 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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Machado, J.T. Fractional Order Generalized Information. Entropy 2014, 16, 2350-2361.
Machado JT. Fractional Order Generalized Information. Entropy. 2014; 16(4):2350-2361.Chicago/Turabian Style
Machado, José T. 2014. "Fractional Order Generalized Information." Entropy 16, no. 4: 2350-2361.