Ulam-Hyers stability of Riemann-Liouville fractional integro-differential equations with fractional non-local integral boundary conditions

Abstract

This research investigates the Ulam-Hyers and Ulam-Hyers-Rassias stability of the Riemann-Liouville fractional integro-differential equation with fractional non-local integral boundary conditions, employing the successive approximation method. Additionally, the study explores stability analysis through the Ulam-Hyers stability concept. The validity of the main results is demonstrated with several concrete examples.