Stability of a class of entropies based on fractional calculus

TL;DR

This paper investigates the Lesche stability of certain entropy measures derived from fractional calculus, contributing to the understanding of their robustness in physical systems.

Contribution

It introduces and analyzes the stability properties of a class of entropies based on fractional derivatives, a novel approach in the field.

Findings

Identifies conditions for Lesche stability of fractional calculus-based entropies

Provides theoretical insights into the robustness of these entropies

Lays groundwork for future applications in statistical physics

Abstract

In this work we argue about the Lesche stability of some systems, that are motivated by the use of fractional derivatives.