"On Ulam's type stability criteria for fractional integral equations in" by YASEMİN BAŞCI, SÜLEYMAN ÖĞREKÇİ et al.

Turkish Journal of Mathematics

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.

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

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