Entropy Interpretation of Hadamard Type Fractional Operators: Fractional Cumulative Entropy

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 fract...

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Detalles Bibliográficos
Autor principal: Tarasov, Vasily E.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: MDPI 2022
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9778357/
https://www.ncbi.nlm.nih.gov/pubmed/36554257
http://dx.doi.org/10.3390/e24121852
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author Tarasov, Vasily E.
author_facet Tarasov, Vasily E.
author_sort Tarasov, Vasily E.
collection PubMed
description 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.
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spelling pubmed-97783572022-12-23 Entropy Interpretation of Hadamard Type Fractional Operators: Fractional Cumulative Entropy Tarasov, Vasily E. Entropy (Basel) Article 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. MDPI 2022-12-19 /pmc/articles/PMC9778357/ /pubmed/36554257 http://dx.doi.org/10.3390/e24121852 Text en © 2022 by the author. https://creativecommons.org/licenses/by/4.0/Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/).
spellingShingle Article
Tarasov, Vasily E.
Entropy Interpretation of Hadamard Type Fractional Operators: Fractional Cumulative Entropy
title Entropy Interpretation of Hadamard Type Fractional Operators: Fractional Cumulative Entropy
title_full Entropy Interpretation of Hadamard Type Fractional Operators: Fractional Cumulative Entropy
title_fullStr Entropy Interpretation of Hadamard Type Fractional Operators: Fractional Cumulative Entropy
title_full_unstemmed Entropy Interpretation of Hadamard Type Fractional Operators: Fractional Cumulative Entropy
title_short Entropy Interpretation of Hadamard Type Fractional Operators: Fractional Cumulative Entropy
title_sort entropy interpretation of hadamard type fractional operators: fractional cumulative entropy
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9778357/
https://www.ncbi.nlm.nih.gov/pubmed/36554257
http://dx.doi.org/10.3390/e24121852
work_keys_str_mv AT tarasovvasilye entropyinterpretationofhadamardtypefractionaloperatorsfractionalcumulativeentropy

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