## Entropies based on fractional calculus

##### Authors
Ubriaco, Marcelo R.
##### Description
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.
Comment: 9 pages, two figures, references added, proof on Lesche's stability has been corrected
##### Keywords
Condensed Matter - Statistical Mechanics