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Keywords = Hadamard-type fractional pperator

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18 pages, 375 KiB  
Article
Entropy Interpretation of Hadamard Type Fractional Operators: Fractional Cumulative Entropy
by Vasily E. Tarasov
Entropy 2022, 24(12), 1852; https://doi.org/10.3390/e24121852 - 19 Dec 2022
Cited by 8 | Viewed by 2399
Abstract
Interpretations of Hadamard-type fractional integral and differential operators are proposed. The Hadamard-type fractional integrals of function with respect to another function are interpreted as an generalization of standard entropy, fractional entropies and cumulative entropies. A family of fractional cumulative entropies is proposed by [...] Read more.
Interpretations of Hadamard-type fractional integral and differential operators are proposed. The Hadamard-type fractional integrals of function with respect to another function are interpreted as an generalization of standard entropy, fractional entropies and cumulative entropies. A family of fractional cumulative entropies is proposed by using the Hadamard-type fractional operators. Full article
(This article belongs to the Section Complexity)
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