Article Title

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

Authors

YASEMİN BAŞCI
SÜLEYMAN ÖĞREKÇİ
ADİL MISIR

DOI

10.3906/mat-1910-70

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

First Page

1498

Last Page

1509

Recommended Citation

BAŞCI, YASEMİN; ÖĞREKÇİ, SÜLEYMAN; and MISIR, ADİL (2020) "On Ulam's type stability criteria for fractional integral equations including Hadamard type singular kernel," Turkish Journal of Mathematics: Vol. 44: No. 4, Article 30. https://doi.org/10.3906/mat-1910-70
Available at: https://journals.tubitak.gov.tr/math/vol44/iss4/30