Applications of Measure of Noncompactness and Darbo's Fixed Point Theorem to Nonlinear Integral Equations in Banach Spaces

dc.authoridÇAKAN, Ümit/0000-0002-9766-5863
dc.authorwosidÇAKAN, Ümit/ABH-4295-2020
dc.contributor.authorCakan, Umit
dc.contributor.authorOzdemir, Ismet
dc.date.accessioned2024-08-04T20:43:05Z
dc.date.available2024-08-04T20:43:05Z
dc.date.issued2017
dc.departmentİnönü Üniversitesien_US
dc.description.abstractWe prove a theorem on the existence of solutions of some nonlinear functional integral equations in the Banach algebra of continuous functions on the interval [0,a]. Then we consider a nonlinear integral equation of fractional order and give some sufficient conditions for existence of solutions of this equation. We use fixed point theorems associated with the measure of noncompactness as the main tool. Our existence results include several results obtained in previous studies. Finally we present some examples which show that our results are applicable.en_US
dc.identifier.doi10.1080/01630563.2017.1291522
dc.identifier.endpage673en_US
dc.identifier.issn0163-0563
dc.identifier.issn1532-2467
dc.identifier.issue5en_US
dc.identifier.scopus2-s2.0-85017592410en_US
dc.identifier.scopusqualityQ2en_US
dc.identifier.startpage641en_US
dc.identifier.urihttps://doi.org/10.1080/01630563.2017.1291522
dc.identifier.urihttps://hdl.handle.net/11616/97784
dc.identifier.volume38en_US
dc.identifier.wosWOS:000399733300006en_US
dc.identifier.wosqualityQ3en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherTaylor & Francis Incen_US
dc.relation.ispartofNumerical Functional Analysis and Optimizationen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectDarbo fixed-point theoremen_US
dc.subjectFixed point theorem in Banach algebraen_US
dc.subjectMeasure of noncompactnessen_US
dc.subjectNonlinear integral equationsen_US
dc.subjectRiemann-Liouville fractional integralen_US
dc.titleApplications of Measure of Noncompactness and Darbo's Fixed Point Theorem to Nonlinear Integral Equations in Banach Spacesen_US
dc.typeArticleen_US

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