Entropies based on fractional calculus
Statistical Mechanics
2015-05-13 v3
Abstract
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.
Cite
@article{arxiv.0902.2726,
title = {Entropies based on fractional calculus},
author = {Marcelo R. Ubriaco},
journal= {arXiv preprint arXiv:0902.2726},
year = {2015}
}
Comments
9 pages, two figures, references added, proof on Lesche's stability has been corrected