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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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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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spelling my.um.eprints.354892023-08-24T06:35:20Z http://eprints.um.edu.my/35489/ A generalized ML-Hyers-Ulam stability of quadratic fractional integral equation Kaabar, Mohammed K. A. Kalvandi, Vida Eghbali, Nasrin Samei, Mohammad Esmael Siri, Zailan Martinez, Francisco QA Mathematics 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. DeGruyter, Poland 2021 Article PeerReviewed Kaabar, Mohammed K. A. and Kalvandi, Vida and Eghbali, Nasrin and Samei, Mohammad Esmael and Siri, Zailan and Martinez, Francisco (2021) A generalized ML-Hyers-Ulam stability of quadratic fractional integral equation. Nonlinear Engineering, 10 (1). pp. 414-427. ISSN 2192-8010, DOI https://doi.org/10.1515/nleng-2021-0033 <https://doi.org/10.1515/nleng-2021-0033>. https://www.scopus.com/inward/record.uri?eid=2-s2.0-85121820908&doi=10.1515%2fnleng-2021-0033&partnerID=40&md5=9596c0d1ff8c4e3306aaac870bc61721 10.1515/nleng-2021-0033
institution Universiti Malaya
building UM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Malaya
content_source UM Research Repository
url_provider http://eprints.um.edu.my/
topic QA Mathematics
spellingShingle QA Mathematics
Kaabar, Mohammed K. A.
Kalvandi, Vida
Eghbali, Nasrin
Samei, Mohammad Esmael
Siri, Zailan
Martinez, Francisco
A generalized ML-Hyers-Ulam stability of quadratic fractional integral equation
description 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.
format Article
author Kaabar, Mohammed K. A.
Kalvandi, Vida
Eghbali, Nasrin
Samei, Mohammad Esmael
Siri, Zailan
Martinez, Francisco
author_facet Kaabar, Mohammed K. A.
Kalvandi, Vida
Eghbali, Nasrin
Samei, Mohammad Esmael
Siri, Zailan
Martinez, Francisco
author_sort Kaabar, Mohammed K. A.
title A generalized ML-Hyers-Ulam stability of quadratic fractional integral equation
title_short A generalized ML-Hyers-Ulam stability of quadratic fractional integral equation
title_full A generalized ML-Hyers-Ulam stability of quadratic fractional integral equation
title_fullStr A generalized ML-Hyers-Ulam stability of quadratic fractional integral equation
title_full_unstemmed A generalized ML-Hyers-Ulam stability of quadratic fractional integral equation
title_sort generalized ml-hyers-ulam stability of quadratic fractional integral equation
publisher DeGruyter, Poland
publishDate 2021
url 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
_version_ 1775622726431539200
score 13.211853

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