  By means of the recent $\psi$-Hilfer fractional derivative and of the Banach
fixed-point theorem, we investigate stabilities of Ulam-Hyers,
Ulam-Hyers-Rassias and semi-Ulam-Hyers-Rassias on closed intervals $[a,b]$ and
$[a,\infty)$ for a particular class of fractional integro-differential
equations.
