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Stability of a class of entropies based on fractional calculus

  • Rui A. C. Ferreira EMAIL logo
Published/Copyright: October 21, 2021

Abstract

In this work, we argue about the Lesche stability of some systems that are motivated by the use of fractional derivatives.

MSC 2010: 82A05; 94A17

Award Identifier / Grant number: CEECIND/00640/2017

Funding statement: The author of this paper was supported by the “Fundação para a Ciência e a Tecnologia (FCT)” through the program “Stimulus of Scientific Employment, Individual Support-2017 Call” with reference CEECIND/00640/2017.

References

[1] S. Abe, Stability of Tsallis entropy and instabilities of Rényi and normalized Tsallis entropies: A basis for q-exponential distributions, Phys. Rev. E (3) 66 (2002), no. 4, Article ID 046134. 10.1103/PhysRevE.66.046134Search in Google Scholar PubMed

[2] S. Abe, G. Kaniadakis and A. M. Scarfone, Stabilities of generalized entropies, J. Phys. A 37 (2004), no. 44, Article ID 10513. 10.1088/0305-4470/37/44/004Search in Google Scholar

[3] X. Cao and S. Luo, On the stability of generalized entropies, J. Phys. A 42 (2009), no. 7, Article ID 075205. 10.1088/1751-8113/42/7/075205Search in Google Scholar

[4] B. Lesche, Instabilities of Rényi entropies, J. Stat. Phys. 27 (1982), no. 2, 419–422. 10.1007/BF01008947Search in Google Scholar

[5] F. Sabzikar, M. M. Meerschaert and J. Chen, Tempered fractional calculus, J. Comput. Phys. 293 (2015), 14–28. 10.1016/j.jcp.2014.04.024Search in Google Scholar PubMed PubMed Central

[6] M. R. Ubriaco, Entropies based on fractional calculus, Phys. Lett. A 373 (2009), no. 30, 2516–2519. 10.1016/j.physleta.2009.05.026Search in Google Scholar

Received: 2020-05-13
Accepted: 2020-11-03
Published Online: 2021-10-21
Published in Print: 2022-06-01

© 2021 Walter de Gruyter GmbH, Berlin/Boston

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