A generalized ML-Hyers-Ulam stability of quadratic fractional integral equation

• Main Authors: Kaabar, Mohammed K. A., Kalvandi, Vida, Eghbali, Nasrin, Samei, Mohammad Esmael, Siri, Zailan, Martinez, Francisco
• 格式: Article
• 出版: DeGruyter, Poland 2021
• 主題: QA Mathematics
• 在線閱讀: http://eprints.um.edu.my/35489/; https://www.scopus.com/inward/record.uri?eid=2-s2.0-85121820908&doi=10.1515%2fnleng-2021-0033&partnerID=40&md5=9596c0d1ff8c4e3306aaac870bc61721

An interesting quadratic fractional integral equation is investigated in this work via a generalized Mittag-Leffler (ML) function. The generalized ML-Hyers-Ulam stability is established in this investigation. We study both of the Hyers-Ulam stability (HUS) and ML-Hyers-Ulam-Rassias stability (ML-HURS) in detail for our proposed differential equation (DEq). Our proposed technique unifies various differential equations' classes. Therefore, this technique can be further applied in future research works with applications to science and engineering. © 2021 Mohammed K. A. Kaabar et al., published by De Gruyter.