On Ulam's type stability criteria for fractional integral equations including Hadamard type singular kernel

Abstract

In this paper, we deal with the Hyers-Ulam-Rassias HUR and Hyers-Ulam HU stability of Hadamard type fractional integral equations on compact intervals. The stability conditions are developed using a new generalized metric GM definition and the fixed point technique by motivating Wang and Lin Ulam's type stability of Hadamard type fractional integral equations. Filomat 2014; 28 7 : 1323-1331. Moreover, our approach is efficient and ease in use than to the previously studied approaches. Finally, we give two examples to explain our main results.