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.
Digital Object Identifier (DOI)
Losada, Jorge and J. Nieto, Juan
"Fractional Integral Associated to Fractional Derivatives with Nonsingular Kernels,"
Progress in Fractional Differentiation & Applications: Vol. 7
, Article 1.
Available at: https://dc.naturalspublishing.com/pfda/vol7/iss3/1