We introduce the fractional integral corresponding to the new concept of fractional derivative recently introduced by Caputo and Fabrizio and we study some related fractional differential equations.
Losada, Jorge and J. Nieto, Juan
"Properties of a New Fractional Derivative without Singular Kernel,"
Progress in Fractional Differentiation & Applications: Vol. 1
, Article 2.
Available at: https://dc.naturalspublishing.com/pfda/vol1/iss2/2