An entropy based on a fractional difference operator

DOI10.1080/10236198.2021.1881072zbMath1467.82004OpenAlexW3128385170MaRDI QIDQ4991843

Rui A. C. Ferreira

Publication date: 4 June 2021

Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10236198.2021.1881072

zbMATH Keywords

stabilitygeneralized entropyfractional difference operator

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Classical equilibrium statistical mechanics (general) (82B05) Difference operators (39A70) Measures of information, entropy (94A17)

Related Items (1)

Generalized fractional entropy functions with an application in hierarchical clustering

Cites Work

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• Entropies based on fractional calculus
• Possible generalization of Boltzmann-Gibbs statistics.
• A family of nonextensive entropies
• A note on the \(q\)-deformation-theoretic aspect of the generalized entropies in nonextensive physics
• Generalised Thermostatistics
• Introduction to Nonextensive Statistical Mechanics
• On the stability of generalized entropies

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