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

Başcı, YaseminÖğrekçi, SüleymanMısır, Adil2021-06-232021-06-2320201300-00981303-6149https://doi.org/10.3906/mat-1910-70https://app.trdizin.gov.tr/makale/TXpVME5USXdNQT09https://hdl.handle.net/20.500.12491/3074In 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.eninfo:eu-repo/semantics/openAccessHyers-Ulam StabilityHyers-Ulam-Rassias StabilityFractional İntegral EquationFixed Point TheoryHadamard Type Singular KernelHyers-Ulam KararlılığıHyers-Ulam-Rassias KararlılığıKesirli İntegral DenklemSabit Nokta TeorisiHadamard Tipi Tekil ÇekirdekOn Ulam’s type stability criteria for fractional integral equations including Hadamard type singular kernelArticle10.3906/mat-1910-70444149815092-s2.0-85089400424Q2354520WOS:000548379100030Q3