Ulam's Type Stability of Hadamard Type Fractional Integral Equations

Abstract

In this paper, we further investigates Ulam's type stability of Hadamard type fractional integral equations on a compact interval. We explore new conditions and develop valuable techniques to overcome the di±cult from the Hadamard type singular kernel and extend the previous Ulam's type stability results in [10] from [1, b] to [a; b] with a > 0 via fixed point method. Finally, two examples are given to illustrate our results.