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An entropy based on a fractional difference operator

Pages 218-222 | Received 12 Nov 2020, Accepted 20 Jan 2021, Published online: 09 Feb 2021

References

  • S. Abe, A note on the q-deformation-theoretic aspect of the generalized entropies in nonextensive physics, Phys. Lett. A 224 (1997), pp. 326–330.
  • J.M. Amigó, S.G. Balogh, and S. Hernández, A brief review of generalized entropies, Entropy20(11) (2018), pp. 21. Paper No. 813.
  • C. Beck, Generalised information and entropy measures in physics, Contemp. Phys. 50(4) (2009), pp. 495–510.
  • E.P. Borges and I. Roditi, A family of nonextensive entropies, Phys. Lett. A 246(5) (1998), pp. 399–402.
  • X. Cao and S. Luo, On the stability of generalized entropies, J. Phys. A 42(7) (2009), pp. 075205.
  • R. Clausius, The Mechanical Theory of Heat, McMillan and Co., London, UK, 1865.
  • R.A.C. Ferreira and J.T. Machado, An entropy formulation based on the generalized Liouville fractional derivative, Entropy 21 (2019), pp. 638.
  • B. Lesche, Instabilities of Rényi entropies, J. Stat. Phys. 27(2) (1982), pp. 419–422.
  • A.M. Lopes and J.T. Machado, A review of fractional order entropies, Entropy 22 (2020), pp. 1374.
  • J. Naudts, Generalised Thermostatistics, Springer-Verlag London, London, 2011.
  • I. Podlubny, Fractional Differential Equations, Mathematics in Science and Engineering, vol. 198, Academic Press, San Diego, 1999.
  • C. Tsallis, Possible generalization of Boltzmann-Gibbs Statistics, J. Statist. Phys 52(1–2) (1988), pp. 479–487.
  • C. Tsallis, Introduction to Nonextensive Statistical Mechanics, Springer, New York, 2009.
  • M.R. Ubriaco, Entropies based on fractional calculus, Phys. Lett. A 373(30) (2009), pp. 2516–2519.

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