Yasemin BAŞCI, Süleyman ÖĞREKÇİ, Adil MISIR

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

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.

Keywords:

Hyers-Ulam stability, Hyers-Ulam-Rassias stability fractional integral equation, fixed point theory, Hadamard type singular kernel,

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