On the Solutions of Fractional Differential Equations Via Geraghty Type Hybrid Contractions

dc.authorid Erhan, Inci M./0000-0001-6042-3695
dc.authorscopusid 57214334108
dc.authorscopusid 24402879000
dc.authorscopusid 16678995500
dc.authorscopusid 6507345917
dc.authorwosid KARAPINAR, ERDAL/H-3177-2011
dc.authorwosid ERHAN, INCI/HLH-1268-2023
dc.authorwosid SevinikAdiguzel, Rezan/KMA-1274-2024
dc.contributor.author Adiguzel, Rezan Sevinik
dc.contributor.author Sevinik Adıgüzel, Rezan
dc.contributor.author Aksoy, Umit
dc.contributor.author Aksoy, Ümit
dc.contributor.author Karapinar, Erdal
dc.contributor.author Karapınar, Erdal
dc.contributor.author Erhan, Inci M.
dc.contributor.author Erhan, İnci
dc.contributor.author Sevinik Adıgüzel, Rezan
dc.contributor.author Aksoy, Ümit
dc.contributor.author Karapınar, Erdal
dc.contributor.author Erhan, İnci
dc.contributor.other Mathematics
dc.contributor.other Mathematics
dc.contributor.other Mathematics
dc.contributor.other Mathematics
dc.date.accessioned 2024-10-06T10:59:13Z
dc.date.available 2024-10-06T10:59:13Z
dc.date.issued 2021
dc.department Atılım University en_US
dc.department-temp [Adiguzel, Rezan Sevinik; Aksoy, Umit; Erhan, Inci M.] Atilim Univ, Dept Math, Ankara, Turkey; [Karapinar, Erdal] Thu Dau Mot Univ, Div Appl Math, Thu Dau Mot City, Binh Duong Prov, Vietnam; [Karapinar, Erdal] Cankaya Univ, Dept Math, Ankara, Turkey; [Karapinar, Erdal] China Med Univ, China Med Univ Hosp, Dept Med Res, Taichung, Taiwan en_US
dc.description Erhan, Inci M./0000-0001-6042-3695 en_US
dc.description.abstract The aim of this article is twofold. Firstly, to study fixed points of mappings on b metric spaces satisfying a general contractive condition called Geraghty type hybrid contraction. Secondly, to apply the theoretical results to the problem of existence and uniqueness of solutions of boundary value problems with integral boundary conditions associated with a certain type of nonlinear fractional differential equations. The conditions for the existence of fixed points for Geraghty type hybrid contractions are determined and several consequences of the main results are deduced. Some examples on boundary value problems for nonlinear fractional differential equations of order 3 < alpha <= 4 are provided, where the existence and uniqueness of solutions are shown by using Geraghty type contractions. en_US
dc.description.woscitationindex Science Citation Index Expanded
dc.identifier.citationcount 123
dc.identifier.endpage 333 en_US
dc.identifier.issn 1683-3511
dc.identifier.issn 1683-6154
dc.identifier.issue 2 en_US
dc.identifier.scopus 2-s2.0-85125822405
dc.identifier.scopusquality Q1
dc.identifier.startpage 313 en_US
dc.identifier.uri https://hdl.handle.net/20.500.14411/8966
dc.identifier.volume 20 en_US
dc.identifier.wos WOS:000696897900007
dc.identifier.wosquality Q1
dc.institutionauthor Sevinik Adıgüzel, Rezan
dc.institutionauthor Aksoy, Ümit
dc.institutionauthor Karapınar, Erdal
dc.institutionauthor Erhan, İnci
dc.institutionauthor Sevinik Adıgüzel, Rezan
dc.institutionauthor Aksoy, Ümit
dc.institutionauthor Karapınar, Erdal
dc.institutionauthor Erhan, İnci
dc.language.iso en en_US
dc.publisher Ministry Communications & High Technologies Republic Azerbaijan en_US
dc.relation.ispartof Applied and Computational Mathematics 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 150
dc.subject Fixed Point en_US
dc.subject b-Metric Space en_US
dc.subject Fractional Differential Equations en_US
dc.title On the Solutions of Fractional Differential Equations Via Geraghty Type Hybrid Contractions en_US
dc.type Article en_US
dc.wos.citedbyCount 139
dspace.entity.type Publication
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