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Existence and Stability Results for Nonlocal Boundary Value Problems of Fractional Order

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dc.authorscopusid16303495600
dc.authorscopusid57213370275
dc.authorscopusid56708052700
dc.authorscopusid57217132593
dc.authorscopusid6508051762
dc.authorwosidAbdeljawad, Thabet/T-8298-2018
dc.authorwosidKumar, Pushpendra/Aaa-1223-2021
dc.authorwosidShah, Kamal/S-8662-2016
dc.authorwosidAbdeljawad, Thabet/T-8298-2018
dc.authorwosidErturk, Vedat Suat/Abd-4512-2021
dc.contributor.authorErturk, Vedat Suat
dc.contributor.authorAli, Amjad
dc.contributor.authorShah, Kamal
dc.contributor.authorKumar, Pushpendra
dc.contributor.authorAbdeljawad, Thabet
dc.contributor.authorIDAbdeljawad, Thabet/0000-0002-8889-3768
dc.contributor.authorIDKumar, Pushpena/0000-0002-7755-2837
dc.contributor.authorIDAbdeljawad, Thabet/0000-0002-8889-3768
dc.date.accessioned2025-12-11T01:24:22Z
dc.date.issued2022
dc.departmentOndokuz Mayıs Üniversitesien_US
dc.department-temp[Erturk, Vedat Suat] Ondokuz Mayis Univ, Fac Arts & Sci, Dept Math, TR-55139 Samsun, Turkey; [Ali, Amjad] Univ Swat, Dept Math Stat, Khyber Pakhtunkhwa, KPK, Pakistan; [Shah, Kamal; Abdeljawad, Thabet] Prince Sultan Univ, Dept Math & Sci, Riyadh, Saudi Arabia; [Shah, Kamal] Univ Malakand, Dept Math, Chakdara, KPK, Pakistan; [Kumar, Pushpendra] Cent Univ Punjab, Dept Math & Stat, Bathinda, Punjab, India; [Abdeljawad, Thabet] China Med Univ, Dept Med Res, Taichung 40402, Taiwanen_US
dc.descriptionAbdeljawad, Thabet/0000-0002-8889-3768; Kumar, Pushpena/0000-0002-7755-2837; Abdeljawad, Thabet/0000-0002-8889-3768;en_US
dc.description.abstractIn this paper, we prove the existence and uniqueness of solutions for the nonlocal boundary value problem (BVP) using Caputo fractional derivative (CFD). We derive Green's function and give some estimation for it to derive our main results. The main principles applied to investigate our results are based on the Banach contraction fixed point theorem and Schauder fixed point approach. We dwell in detail on some results concerning the Hyers-Ulam (H-U) type and generalized H-U (g-H-U) type stability also for problem we are considering. We justify our results with an illustrative example.en_US
dc.description.sponsorshipPrince Sultan University through the TAS research laben_US
dc.description.sponsorshipThe authors Kamal Shah and Thabet Abdeljawad would like to thank Prince Sultan University for paying the APC and for the support through the TAS research lab.en_US
dc.description.woscitationindexScience Citation Index Expanded
dc.identifier.doi10.1186/s13661-022-01606-0
dc.identifier.issn1687-2770
dc.identifier.issue1en_US
dc.identifier.scopus2-s2.0-85128307109
dc.identifier.scopusqualityQ2
dc.identifier.urihttps://doi.org/10.1186/s13661-022-01606-0
dc.identifier.urihttps://hdl.handle.net/20.500.12712/43489
dc.identifier.volume2022en_US
dc.identifier.wosWOS:000783477900001
dc.identifier.wosqualityQ1
dc.language.isoenen_US
dc.publisherSpringeren_US
dc.relation.ispartofBoundary Value Problemsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectCFDen_US
dc.subjectBVPen_US
dc.subjectExistence and Uniquenessen_US
dc.subjectG-H-U Stabilityen_US
dc.titleExistence and Stability Results for Nonlocal Boundary Value Problems of Fractional Orderen_US
dc.typeArticleen_US
dspace.entity.typePublication

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