On monotonic solutions of some nonlinear fractional integral equations

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dc.authorscopusid55793739700
dc.contributor.authorÇakan Ü.
dc.date.accessioned2024-08-04T20:00:52Z
dc.date.available2024-08-04T20:00:52Z
dc.date.issued2017
dc.departmentİnönü Üniversitesien_US
dc.description.abstractIt is well known that nonlinear integral and differential equations create an important branch of nonlinear analysis. A lot of nonlinear problems arising from areas of the real world are generally represented with integral and differential equations. Especially, integral and differential equations of fractional order play a very important role in modelling of some problems in physics, mechanics and other fields in natural sciences. For instance, these equations are used in describing of some problems in theory of neutron transport, the theory of radioactive transfer, the kinetic theory of gases [18], the traffic theory and so on. In this study, we examine the solvability of the following nonlinear integral equation of fractional order in C[0, a] which is the space of real valued and continuous functions defined on the interval [0, a] We present some sufficient conditions for existence of nondecreasing solutions of the above equation. Then using a Darbo type fixed point theorem associated with the measure of noncompactness we prove that this equation has at least one nondecreasing solution in C[0, a]. Finally we give some examples to show that our result is applicable. © 2017 Kyungnam University Press.en_US
dc.identifier.endpage273en_US
dc.identifier.issn1229-1595
dc.identifier.issue2en_US
dc.identifier.scopus2-s2.0-85034739427en_US
dc.identifier.scopusqualityQ3en_US
dc.identifier.startpage259en_US
dc.identifier.urihttps://hdl.handle.net/11616/91051
dc.identifier.volume22en_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherKyungnam University Pressen_US
dc.relation.ispartofNonlinear Functional Analysis and Applicationsen_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.subjectMeasure of noncompactnessen_US
dc.subjectNondecreasing solutionsen_US
dc.subjectNonlinear integral equationsen_US
dc.subjectRiemann{Liouville fractional integralen_US
dc.titleOn monotonic solutions of some nonlinear fractional integral equationsen_US
dc.typeArticleen_US

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