A Note on the Connection between Non-Additive Entropy and h-Derivative

Autor:	Jin-Wen Kang, Ke-Ming Shen, Ben-Wei Zhang
Jazyk:	angličtina
Rok vydání:	2023
Předmět:	non-additive entropy h-derivative Sh h′-entropy Science Astrophysics QB460-466 Physics QC1-999
Zdroj:	Entropy, Vol 25, Iss 6, p 918 (2023)
Druh dokumentu:	article
ISSN:	1099-4300
DOI:	10.3390/e25060918
Popis:	In order to study as a whole a wide part of entropy measures, we introduce a two-parameter non-extensive entropic form with respect to the h-derivative, which generalizes the conventional Newton–Leibniz calculus. This new entropy, Sh,h′, is proved to describe the non-extensive systems and recover several types of well-known non-extensive entropic expressions, such as the Tsallis entropy, the Abe entropy, the Shafee entropy, the Kaniadakis entropy and even the classical Boltzmann–Gibbs one. As a generalized entropy, its corresponding properties are also analyzed.
Databáze:	Directory of Open Access Journals
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