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
Descripción
Sumario: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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