Ulam's Type Stability of Hadamard Type Fractional Integral Equations

Jin Rong Wang, Zeng Lin

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 difficult from the Hadamard type singular kernel and extend the previous Ulam’s type stability results in [27] from $[1,b]$ to $[a,b]$ with $a>0$ via fixed point method. Finally, two examples are given to illustrate our results.