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

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-HUR...

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Bibliographic Details
Main Authors: Kaabar, Mohammed K. A., Kalvandi, Vida, Eghbali, Nasrin, Samei, Mohammad Esmael, Siri, Zailan, Martinez, Francisco
Format: Article
Published: DeGruyter, Poland 2021
Subjects:
QA Mathematics
Online Access: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
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Summary: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.

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