Entropies based on fractional calculus

By M. Ubriaco. 2009

184 citations recorded by the source corpus.

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

Subfields: Modeling and Simulation, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/499f57765e537f37e21347b644a079b2f136f077