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...
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Taylor & Francis Group
2021
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oai:doaj.org-article:66e67fdc603b4a3ca1c736ef42a04d7e2021-11-04T15:00:42ZTsallis entropy on fractal sets1658-365510.1080/16583655.2021.1991717https://doaj.org/article/66e67fdc603b4a3ca1c736ef42a04d7e2021-01-01T00:00:00Zhttp://dx.doi.org/10.1080/16583655.2021.1991717https://doaj.org/toc/1658-3655In 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.Alireza Khalili GolmankhanehTaylor & Francis Grouparticlefractal tsallis entropyfractal lévy distributionq-fractal calculusfractal q-gaussianthermo-fractalScience (General)Q1-390ENJournal of Taibah University for Science, Vol 15, Iss 1, Pp 543-549 (2021) |
| institution |
DOAJ |
| collection |
DOAJ |
| language |
EN |
| topic |
fractal tsallis entropy fractal lévy distribution q-fractal calculus fractal q-gaussian thermo-fractal Science (General) Q1-390 |
| spellingShingle |
fractal tsallis entropy fractal lévy distribution q-fractal calculus fractal q-gaussian thermo-fractal Science (General) Q1-390 Alireza Khalili Golmankhaneh Tsallis entropy on fractal sets |
| description |
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. |
| format |
article |
| author |
Alireza Khalili Golmankhaneh |
| author_facet |
Alireza Khalili Golmankhaneh |
| author_sort |
Alireza Khalili Golmankhaneh |
| title |
Tsallis entropy on fractal sets |
| title_short |
Tsallis entropy on fractal sets |
| title_full |
Tsallis entropy on fractal sets |
| title_fullStr |
Tsallis entropy on fractal sets |
| title_full_unstemmed |
Tsallis entropy on fractal sets |
| title_sort |
tsallis entropy on fractal sets |
| publisher |
Taylor & Francis Group |
| publishDate |
2021 |
| url |
https://doaj.org/article/66e67fdc603b4a3ca1c736ef42a04d7e |
| work_keys_str_mv |
AT alirezakhaliligolmankhaneh tsallisentropyonfractalsets |
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1718444775622836224 |