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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DeGruyter, Poland
2021
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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 |
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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 |
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1775622726431539200 |
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13.209306 |