Tsallis entropy on fractal sets

In this article, we review fractal calculus ( $ F^{\alpha } $ -calculus) and define generalized Tsallis entropy on the fractal sets which is called fractal Tsallis entropy. We define q-fractal calculus to obtain q-Gaussian or generalized stable and Lévy distribution on fractal sets. The conditions f...

Description complète

Enregistré dans:
Détails bibliographiques
Auteur principal: Alireza Khalili Golmankhaneh
Format: article
Langue:EN
Publié: Taylor & Francis Group 2021
Sujets:
Accès en ligne:https://doaj.org/article/66e67fdc603b4a3ca1c736ef42a04d7e
Tags: Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
Description
Résumé:In this article, we review fractal calculus ( $ F^{\alpha } $ -calculus) and define generalized Tsallis entropy on the fractal sets which is called fractal Tsallis entropy. We define q-fractal calculus to obtain q-Gaussian or generalized stable and Lévy distribution on fractal sets. The conditions for the nonlinear coupling of the statistical states are given. The relationship of fractal dimension which is defined in $ F^{\alpha } $ -calculus with q-parameter of the Tsallis entropy of the Hadron system is proposed.