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Solving Bigeometric Volterra Integral Equations by Using Successive Approximations Method

MakaleAçık Erişim

Özet

In this study, the successive approximations method has been applied to investigate the solution for the linear bigeometric Volterra integral equations of the second kind in the sense of bigeometric calculus. The conditions to be taken into consideration for the bigeometric continuity and the uniqueness of the solution of linear bigeometric Volterra integral equations of the second kind are researched. Finally, some numerical examples are presented to illustrate successive approximations method.

Anahtar Kelimeler

bigeometric calculusbigeometric Volterra integral equationssuccessive approximations method
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Tam Kayıt
AlanDeğerDil
dc.contributor.authorGüngör, Nihan
dc.date.accessioned2026-10-22T10:18:53.167844437Z
dc.date.available2026-10-22T10:18:53.167844437Z
dc.date.issued2021
dc.description.abstractIn this study, the successive approximations method has been applied to investigate the solution for the linear bigeometric Volterra integral equations of the second kind in the sense of bigeometric calculus. The conditions to be taken into consideration for the bigeometric continuity and the uniqueness of the solution of linear bigeometric Volterra integral equations of the second kind are researched. Finally, some numerical examples are presented to illustrate successive approximations method.
dc.identifier.doi10.16984/saufenbilder.779325
dc.identifier.eissn2147-835X
dc.identifier.endpage162
dc.identifier.issn1301-4048
dc.identifier.issue1
dc.identifier.scopus2-s2.0-85218045498
dc.identifier.startpage150
dc.identifier.urihttps://rdlopen.rawdatalibrary.net/r/gumushane/11307
dc.identifier.volume25
dc.language.isoen
dc.publisherSakarya University
dc.relation.ispartofSakarya University Journal of Science
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subjectbigeometric calculus
dc.subjectbigeometric Volterra integral equations
dc.subjectsuccessive approximations method
dc.titleSolving Bigeometric Volterra Integral Equations by Using Successive Approximations Method
dc.typeArticle
dspace.entity.typePublication
rdl.citation.openalex1
rdl.citation.scopus1
rdl.citation.trdizin1
rdl.oa.statusgold
rdl.oa.urlhttps://doi.org/10.16984/saufenbilder.779325
rdl.scopus.quartileQ4
rdl.source.indexSCOPUS
rdl.source.indexTRDIZIN