"Fractional Integral Associated to Fractional Derivatives with Nonsingu" by Jorge Losada and Juan J. Nieto

Progress in Fractional Differentiation & Applications

Article Title

Fractional Integral Associated to Fractional Derivatives with Nonsingular Kernels

Authors

Jorge Losada, Departamento de Matema ́tica Aplicada a la Ingenier ́ıa Industrial, E.T.S. Ingenieros Industriales, Universidad Polite ́cnica de Madrid, Spain
Juan J. Nieto

Author Country (or Countries)

Spain

Abstract

This paper presents the fractional integral in the Caputo-Fabrizio sense. For the first order integral and the classical Riemann- Liouville fractional integral, the kernel of the corresponding operator is trivial, but it is not the case for the Caputo-Fabrizio integral operator. This is one of the misleading points in relation to this fractional derivative with nonsingular kernel and we present it here in a crystalline form.

Suggested Reviewers

N/A

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/pfda/070301

Recommended Citation

Losada, Jorge and J. Nieto, Juan (2021) "Fractional Integral Associated to Fractional Derivatives with Nonsingular Kernels," Progress in Fractional Differentiation & Applications: Vol. 7: Iss. 3, Article 1.
DOI: http://dx.doi.org/10.18576/pfda/070301
Available at: https://digitalcommons.aaru.edu.jo/pfda/vol7/iss3/1

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