1301.2779 (R. Chandrashekar et al.)

A Fractional entropy in Fractal phase space: properties and
characterization    [PDF]

R. Chandrashekar, C. Ravikumar, J. Segar

A two parameter generalization of Boltzmann-Gibbs-Shannon entropy based on natural logarithm is introduced. The generalization of the Shannon-Kinchinn axioms corresponding to the two parameter entropy is proposed and verified. We present the relative entropy and the Fisher information measure corresponding to this entropy. The properties satisfied by the two parameter relative entropy are discussed. Finally we obtain the canonical distribution corresponding to this entropy in terms of the Lambert's W-function and verify the Lesche stability of our entropy.

View original: http://arxiv.org/abs/1301.2779