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ON SOLUTION OF BG-VOLTERRA INTEGRAL EQUATIONS

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Özet

In this study, we center upon obtaining the solution of linear bigeometric Volterra integral equations of the second kind in the sense of bigeometric calculus. The method of successive substitutions and resolvent kernel method are applied for solving the linear bigeometric Volterra integral equations of the second kind by using the concept of bigeometric integral. The necessary conditions for the bigeometric continuity and the uniqueness of the solution of linear bigeometric Volterra integral equations of the second kind are given in these methods. Finally, some numerical examples are presented to explain the procedure of the method of successive substitutions and resolvent kernel method

Anahtar Kelimeler

Bg-resvolvent kernelBigeometric calculusBigeometric volterra integral equationsMethod of successive substitutions
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dc.contributor.authorGüngör, N.
dc.date.accessioned2026-10-22T10:20:32.818535709Z
dc.date.available2026-10-22T10:20:32.818535709Z
dc.date.issued2023
dc.description.abstractIn this study, we center upon obtaining the solution of linear bigeometric Volterra integral equations of the second kind in the sense of bigeometric calculus. The method of successive substitutions and resolvent kernel method are applied for solving the linear bigeometric Volterra integral equations of the second kind by using the concept of bigeometric integral. The necessary conditions for the bigeometric continuity and the uniqueness of the solution of linear bigeometric Volterra integral equations of the second kind are given in these methods. Finally, some numerical examples are presented to explain the procedure of the method of successive substitutions and resolvent kernel method
dc.identifier.endpage36
dc.identifier.issn2146-1147
dc.identifier.issue1
dc.identifier.scopus2-s2.0-85146798704
dc.identifier.startpage21
dc.identifier.urihttps://rdlopen.rawdatalibrary.net/r/gumushane/12790
dc.identifier.volume13
dc.language.isoen
dc.publisherIsik University
dc.relation.ispartofTurkish World Mathematical Society Journal of Applied and Engineering Mathematics
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.subjectBg-resvolvent kernel
dc.subjectBigeometric calculus
dc.subjectBigeometric volterra integral equations
dc.subjectMethod of successive substitutions
dc.titleON SOLUTION OF BG-VOLTERRA INTEGRAL EQUATIONS
dc.typeArticle
rdl.citation.scopus0
rdl.oa.statusclosed
rdl.scopus.quartileQ4
rdl.source.indexSCOPUS