A Review of Fractional Order Entropies

• Type: Another Publication in an International Scientific Journal
• Date: 2020

Authors

António Mendes Lopes (Author) FEUP; Machado, JAT (Author) Other

Journal

Title: Entropy

Vol. 22

Pages: 1-17

ISSN: 1099-4300

Publisher: MDPI

Indexing

ISI Web of Knowledge - 3 Citations

Scopus - 3 Citations

Other information

Authenticus ID: P-00T-6EA

DOI: 10.3390/e22121374

Abstract (EN): Fractional calculus (FC) is the area of calculus that generalizes the operations of differentiation and integration. FC operators are non-local and capture the history of dynamical effects present in many natural and artificial phenomena. Entropy is a measure of uncertainty, diversity and randomness often adopted for characterizing complex dynamical systems. Stemming from the synergies between the two areas, this paper reviews the concept of entropy in the framework of FC. Several new entropy definitions have been proposed in recent decades, expanding the scope of applicability of this seminal tool. However, FC is not yet well disseminated in the community of entropy. Therefore, new definitions based on FC can generalize both concepts in the theoretical and applied points of view. The time to come will prove to what extend the new formulations will be useful.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 17