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

Authors : Yasemin Başci, Süleyman Öğrekçi, Adil Misir

Pages : 1498-1509

Doi:10.3906/mat-1910-70

View : 7 | Download : 0

Publication Date : 9999-12-31

Article Type : Makaleler

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