Entropies based on fractional calculus

Details Entropies based on fractional calculus Entropies based on fractional calculus

2009-02-16

arxiv.org/abs/0902.2726v3

Physics

Condensed Matter

Statistical Mechanics

9 pages, two figures, references added, proof on Lesche's stability has been corrected

Scientific paper

We propose entropy functions based on fractional calculus. We show that this
new entropy has the same properties than the Shannon entropy except additivity,
therefore making this entropy non-extensive. We show that this entropy function
satisfies the Lesche and thermodynamic stability criteria.

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