Some theoretical results on fractional-order continuous information measures
Keywords:
fractional differential entropy, fractional joint/conditional differential entropy, fractional relative entropy, fractional mutual information, Riemann-Liouville fractional integral/derivativeAbstract
By rewriting the differential entropy in a form of a differ-integral function's limit, and deforming the ordinary derivative to a fractional-order one, we derive in this paper a novel generalized fractional-order differential entropy along with its related information measures. When the order of fractional differentiation α → 1 , the ordinary Shannon's differential entropy is recovered, which corresponds to the results from first-order ordinary differentiation.
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