Tsallis entropy on fractal sets

Khalili Golmankhaneh A.

Journal of Taibah University for Science, vol.15, no.1, pp.543-549, 2021 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 15 Issue: 1
  • Publication Date: 2021
  • Doi Number: 10.1080/16583655.2021.1991717
  • Journal Name: Journal of Taibah University for Science
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.543-549
  • Keywords: 28A80, 60E07, 82C41, 94A17, fractal Lévy distribution, fractal q-Gaussian, Fractal Tsallis entropy, q-fractal calculus, thermo-fractal
  • Van Yüzüncü Yıl University Affiliated: Yes

Abstract

In this article, we review fractal calculus ((Formula presented.) -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 (Formula presented.) -calculus with q-parameter of the Tsallis entropy of the Hadron system is proposed.