Ulam-Hyers stability analysis to a three-point boundary value problem for fractional differential equations

UDC 517.9 We study the problem of existence and uniqueness of solution of a three-point boundary-value problem for a differential equation of fractional order. Further, we investigate various kinds of the Ulam stability, such as the Ulam–Hyers stability, the generalized Ulam–Hyers stability, the Ula...

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Datum:2020
Hauptverfasser: Shah, K., Ali, A.
Format: Artikel
Sprache:Englisch
Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2020
Online Zugang:https://umj.imath.kiev.ua/index.php/umj/article/view/371
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Назва журналу:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal
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Zusammenfassung:UDC 517.9 We study the problem of existence and uniqueness of solution of a three-point boundary-value problem for a differential equation of fractional order. Further, we investigate various kinds of the Ulam stability, such as the Ulam–Hyers stability, the generalized Ulam–Hyers stability, the Ulam–Hyers–Rassias stability, and the generalized Ulam–Hyers–Rassias stability for the analyzed problem.We also provide examples to explain our results.