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In this paper, we obtain new sufficient conditions for Hyers-Ulam and Hyers-Ulam-Rassias stability of abstract second-order linear dynamic equations on time scales. Also a new sufficient condition for the existence and uniqueness of solutions is established, via Banach's fixed point theorem. Finally, two illustrative examples are given to demonstrate the applicability of the theoretical results.doi:10.22436/jmcs.024.02.02 fatcat:ss7xkfkj2bd2xaosdndzazjuzu