Stability of a Volterra Integral Equation on Time Scales

Abstract

In this paper, we study Hyers-Ulam stability for integral equation of Volterra type in time scale setting. Moreover we study the stability of the considered equation in Hyers-Ulam-Rassias sense. Our technique depends on successive approximation method, and we use time scale variant of induction principle to show that equation (1.1) is stable on unbounded domains in Hyers-Ulam-Rassias sense.