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.
Hyers-Ulam stability, Hyers-Ulam-Rassias stability, fractional integral equation, fixed point theory, Hadamard type singular kernel
BAŞCI, YASEMİN; ÖĞREKÇİ, SÜLEYMAN; and MISIR, ADİL
"On Ulam's type stability criteria for fractional integral equations including Hadamard type singular kernel,"
Turkish Journal of Mathematics: Vol. 44:
4, Article 30.
Available at: https://journals.tubitak.gov.tr/math/vol44/iss4/30