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dc.contributor.authorFabiano, Nicolaen_US
dc.contributor.authorKadelburg, Zoranen_US
dc.contributor.authorMirkov, Nikolaen_US
dc.contributor.authorRadenović, Stojanen_US
dc.date.accessioned2023-07-11T10:17:33Z
dc.date.available2023-07-11T10:17:33Z
dc.date.issued2022-07
dc.identifier.citationFabiano, N., Kadelburg, Z., Mirkov, N. & Radenović, S. (2023). Solving fractional differential equations using fixed point results in generalized metric spaces of Perov’s type. TWMS Journal Of Applied And Engineering Mathematics, 13(3), 880-890.en_US
dc.identifier.issn2146-1147en_US
dc.identifier.issn2587-1013en_US
dc.identifier.urihttp://belgelik.isikun.edu.tr/xmlui/handle/iubelgelik/5591
dc.identifier.urihttp://jaem.isikun.edu.tr/web/index.php/archive/121-vol13no3/1077
dc.description.abstractIn 1964, A. I. Perov generalized the Banach contraction principle introducing, following the work of ¯D. Kurepa, a new approach to fixed point problems, by defining generalized metric spaces (also known as vector valued metric spaces), and providing some actual results for the first time. Using the recent approach of coordinate representation for a generalized metric of Jachymski and Klima, we verify in this article some natural properties of generalized metric spaces, already owned by standard metric spaces. Among other results, we show that the theorems of Nemytckii (1936) and Edelstein (1962) are valid in generalized metric spaces, as well. A new application to fractional differential equations is also presented. At the end we state a few open questions for young researchers.en_US
dc.language.isoenen_US
dc.publisherIşık University Pressen_US
dc.relation.ispartofTWMS Journal Of Applied And Engineering Mathematicsen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.rightsAttribution-NonCommercial-NoDerivs 3.0 United States*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/us/*
dc.subjectFixed pointen_US
dc.subjectVector-valued metricen_US
dc.subjectPseudometricen_US
dc.subjectPerov typeen_US
dc.subjectF-contractionen_US
dc.subjectFractional differential equationen_US
dc.titleSolving fractional differential equations using fixed point results in generalized metric spaces of Perov’s typeen_US
dc.typeArticleen_US
dc.description.versionPublisher's Versionen_US
dc.identifier.volume13
dc.identifier.issue3
dc.identifier.startpage880
dc.identifier.endpage890
dc.peerreviewedYesen_US
dc.publicationstatusPublisheden_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Başka Kurum Yazarıen_US
dc.indekslendigikaynakScopusen_US
dc.indekslendigikaynakEmerging Sources Citation Index (ESCI)en_US


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