Properties of the Caputo-Fabrizio Fractional Derivative

Authors

G. A. Mboro Nchama, Departamento de Ciencias Te ́cnicas, Universidad Nacional de Guinea Ecuatorial (UNGE), Malabo, Guinea Ecuatorial\\Departamento de Matema ́tica Aplicada, Universidad de La Habana, La Habana, CubaFollow
L. D. Lau-Alfonso, Departamento de Matema ́tica Aplicada, Universidad de La Habana, La Habana, CubaFollow
A. M. Leo ́n Mec ́ıas, Departamento de Matema ́tica Aplicada, Universidad de La Habana, La Habana, CubaFollow
M. Rodr ́ıguez Ricard, Departamento de Matema ́tica Aplicada, Universidad de La Habana, La Habana, CubaFollow

Author Country (or Countries)

Cuba

Abstract

In this paper, we investigate some properties related Caputo-Fabrizio (CF) fractional derivative. We prove some regularity properties and bounds characterizing the Caputo-Fabrizio derivative operator. Using the method of Laplace transform, we found explicit solutions of some differential equations containing the Caputo-Fabrizio fractional derivative. Different types of inequalities generated by using the Caputo-Fabrizio derivative are also presented.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/amis/140503

Recommended Citation

A. Mboro Nchama, G.; D. Lau-Alfonso, L.; M. Leo ́n Mec ́ıas, A.; and Rodr ́ıguez Ricard, M. (2020) "Properties of the Caputo-Fabrizio Fractional Derivative," Applied Mathematics & Information Sciences: Vol. 14: Iss. 5, Article 3.
DOI: http://dx.doi.org/10.18576/amis/140503
Available at: https://digitalcommons.aaru.edu.jo/amis/vol14/iss5/3