“…We name this integrals the fractional moments of the function f . Up to our knowledge, the particular case f (x) = x m appears in the literature in different references (see [2,3,4,7,9,10]). For example, in [4,Theorem 2.1] or [3,Problem 22.2] we can see the identity with γ being the Euler-Mascheroni constant, it is proved that…”