The existence and uniqueness of solution for linear system of mixed Volterra-Fredholm integral equations in Banach space

dc.authoridSulaiman, Nejmaddin/0000-0002-3307-9451
dc.contributor.authorHasan, Pakhshan M.
dc.contributor.authorAbdulla, Nejmaddin A.
dc.contributor.authorSoleymani, Fazlollah
dc.contributor.authorAkgul, Ali
dc.date.accessioned2024-12-24T19:33:58Z
dc.date.available2024-12-24T19:33:58Z
dc.date.issued2020
dc.departmentSiirt Üniversitesi
dc.description.abstractIn this paper, a linear system of mixed Volterra-Fredholm integral equations is considered. The problem of existence and uniqueness of its solution is investigated and proved in a complete metric space by using the Banach fixed-point theorem. Also, an iterative method of fixed point type is used to approximate the solution of the system. The algorithm is applied on several examples. To show the accuracy of the results and the efficiency of the method, the approximate solutions are compared with the exact solutions.
dc.identifier.doi10.3934/math.2020014
dc.identifier.endpage235
dc.identifier.issn2473-6988
dc.identifier.issue1
dc.identifier.scopus2-s2.0-85076783784
dc.identifier.scopusqualityQ1
dc.identifier.startpage226
dc.identifier.urihttps://doi.org/10.3934/math.2020014
dc.identifier.urihttps://hdl.handle.net/20.500.12604/8367
dc.identifier.volume5
dc.identifier.wosWOS:000504635300014
dc.identifier.wosqualityQ2
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherAmer Inst Mathematical Sciences-Aims
dc.relation.ispartofAims Mathematics
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_20241222
dc.subjectfixed point method
dc.subjectcontraction mapping
dc.subjectBanach fixed-point (FP) theorem
dc.subjectmixed Volterra-Fredholm integral equation
dc.titleThe existence and uniqueness of solution for linear system of mixed Volterra-Fredholm integral equations in Banach space
dc.typeArticle

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