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On Data Dependency and Solutions of Nonlinear Fredholm Integral Equations with the Three-Step Iteration Method

MakaleAçık ErişimScopus SJRQ4

Özet

In this study, the solution of the second type of homogeneous nonlinear Fredholm integral equations is investigated using a three-step iteration algorithm. In other words, it has been shown that the sequences obtained from this algorithm converge to the solution of the mentioned equations. Also, data dependency is obtained for the second type of homogeneous nonlinear Fredholm integral equations and this result is supported by an example.

Anahtar Kelimeler

Banach Fixed Point TheoremData DependencyNonlinear Fredholm Integral EquationsThree-Step Iteration Method
RDL Kalıcı Bağlantı (PID)
https://rdlopen.rawdatalibrary.net/r/gumushane/14435Resmi atıflarda kullanılan kalıcı adres
DOI
https://doi.org/10.54286/ikjm.1303219Yayıncı resmi DOI adresi
Atıflar
Scopus
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OpenAlex
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Tam Kayıt
AlanDeğerDil
dc.contributor.authorCona, Lale
dc.contributor.authorŞengül, Kadir
dc.date.accessioned2026-10-22T10:22:42.236135364Z
dc.date.available2026-10-22T10:22:42.236135364Z
dc.date.issued2023
dc.description.abstractIn this study, the solution of the second type of homogeneous nonlinear Fredholm integral equations is investigated using a three-step iteration algorithm. In other words, it has been shown that the sequences obtained from this algorithm converge to the solution of the mentioned equations. Also, data dependency is obtained for the second type of homogeneous nonlinear Fredholm integral equations and this result is supported by an example.
dc.identifier.doi10.54286/ikjm.1303219
dc.identifier.endpage64
dc.identifier.issn2687-6531
dc.identifier.issue2
dc.identifier.scopus2-s2.0-105004077000
dc.identifier.startpage53
dc.identifier.urihttps://rdlopen.rawdatalibrary.net/r/gumushane/14435
dc.identifier.volume5
dc.language.isoen
dc.publisherNihat AKGUNES
dc.relation.ispartofIkonion Journal of Mathematics
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subjectBanach Fixed Point Theorem
dc.subjectData Dependency
dc.subjectNonlinear Fredholm Integral Equations
dc.subjectThree-Step Iteration Method
dc.titleOn Data Dependency and Solutions of Nonlinear Fredholm Integral Equations with the Three-Step Iteration Method
dc.typeArticle
dspace.entity.typePublication
rdl.citation.openalex3
rdl.citation.scopus1
rdl.oa.statusgreen
rdl.oa.urlhttps://dergipark.org.tr/tr/pub/ikjm/issue/79761/1303219
rdl.scopus.quartileQ4
rdl.source.indexSCOPUS