Ulam-Hyers-Rassias stability of Caputo fractional differential equations with deviating arguments on unbounded intervals

Abstract In this paper, we investigate the Ulam-Hyers-Rassias stability of non-local problems for differential equations with Caputo fractional derivatives involving deviating arguments on unbounded intervals. By applying the Banach fixed-point theorem, we establish conditions for the existence and uniqueness of mild solutions within the space of continuous functions endowed with the Bielecki norm. To illustrate the validity of theoretical results and the applicability of Ulam-Hyers-Rassias stability in estimation, concrete examples are provided.