Stability of a class of entropies based on fractional calculus

@article{Ferreira2020StabilityOA,
  title={Stability of a class of entropies based on fractional calculus},
  author={Rui A. C. Ferreira},
  journal={Journal of Applied Analysis},
  year={2020},
  volume={28},
  pages={105 - 107}
}
  • R. Ferreira
  • Published 5 November 2020
  • Mathematics, Computer Science
  • Journal of Applied Analysis
Abstract In this work, we argue about the Lesche stability of some systems that are motivated by the use of fractional derivatives. 

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We note that, for λ > 0, the function f σ,λ (x) is differentiable at x = 1. Therefore, if we define by f −1 (x) = d dx x [(λ − ln(x)) σ − λ σ