Ulam-Hyers-Rassias stability for a class of fractional integro-differential equations

Abstract

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.

16 pages