Uniqueness of Solution for Higher-Order Nonlinear Fractional Differential Equations With Multi-Point and Integral Boundary Conditions

dc.authorid ERHAN, INCI M./0000-0001-6042-3695
dc.authorid KARAPINAR, ERDAL/0000-0002-6798-3254
dc.authorscopusid 49864511100
dc.authorscopusid 24402879000
dc.authorscopusid 16678995500
dc.authorscopusid 6507345917
dc.authorwosid Sevinik-Adiguzel, Rezan/KMA-1274-2024
dc.authorwosid ERHAN, INCI M./HLH-1268-2023
dc.authorwosid KARAPINAR, ERDAL/H-3177-2011
dc.contributor.author Sevinik-Adiguzel, Rezan
dc.contributor.author Aksoy, Umit
dc.contributor.author Karapinar, Erdal
dc.contributor.author Erhan, Inci M.
dc.contributor.other Mathematics
dc.date.accessioned 2024-07-05T15:19:39Z
dc.date.available 2024-07-05T15:19:39Z
dc.date.issued 2021
dc.department Atılım University en_US
dc.department-temp [Sevinik-Adiguzel, Rezan; Aksoy, Umit; Erhan, Inci M.] Atilim Univ, Dept Math, TR-06830 Ankara, Turkey; [Karapinar, Erdal] Thu Dau Mot Univ, Div Appl Math, Thu Dau Mot, Binh Duong Prov, Vietnam; [Karapinar, Erdal] Cankaya Univ, Dept Math, TR-06790 Ankara, Turkey; [Karapinar, Erdal] China Med Univ, China Med Univ Hosp, Dept Med Res, Taichung 40402, Taiwan en_US
dc.description ERHAN, INCI M./0000-0001-6042-3695; KARAPINAR, ERDAL/0000-0002-6798-3254 en_US
dc.description.abstract This study is devoted to the development of alternative conditions for existence and uniqueness of nonlinear fractional differential equations of higher-order with integral and multi-point boundary conditions. It uses a novel approach of employing a fixed point theorem based on contractive iterates of the integral operator for the corresponding fixed point problem. We start with developing an existence-uniqueness theorem for self-mappings with contractive iterate in a b-metric-like space. Then, we obtain the unique solvability of the problem under suitable conditions by utilizing an appropriate b-metric-like space. en_US
dc.identifier.citationcount 106
dc.identifier.doi 10.1007/s13398-021-01095-3
dc.identifier.issn 1578-7303
dc.identifier.issn 1579-1505
dc.identifier.issue 3 en_US
dc.identifier.scopus 2-s2.0-85108978294
dc.identifier.scopusquality Q1
dc.identifier.uri https://doi.org/10.1007/s13398-021-01095-3
dc.identifier.uri https://hdl.handle.net/20.500.14411/2001
dc.identifier.volume 115 en_US
dc.identifier.wos WOS:000667694800001
dc.identifier.wosquality Q1
dc.institutionauthor Aksoy, Ümit
dc.institutionauthor Sevinik Adıgüzel, Rezan
dc.institutionauthor Erhan, İnci
dc.institutionauthor Karapınar, Erdal
dc.language.iso en en_US
dc.publisher Springer-verlag Italia Srl en_US
dc.relation.publicationcategory Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı en_US
dc.rights info:eu-repo/semantics/closedAccess en_US
dc.scopus.citedbyCount 132
dc.subject Fixed point en_US
dc.subject b-Metric space en_US
dc.subject Fractional differential equations en_US
dc.title Uniqueness of Solution for Higher-Order Nonlinear Fractional Differential Equations With Multi-Point and Integral Boundary Conditions en_US
dc.type Article en_US
dc.wos.citedbyCount 127
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