Investigation of the solution of a half-order elliptic type equation with non-local boundary condition

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dc.authorid0000-0003-2926-2744
dc.contributor.authorAliyev, Nihan
dc.contributor.authorRasulov, Mahir
dc.contributor.authorSinsoysal, Bahaddin
dc.date.accessioned2026-01-31T15:08:37Z
dc.date.available2026-01-31T15:08:37Z
dc.date.issued2025
dc.departmentİstanbul Beykent Üniversitesi
dc.description.abstractThe article is devoted to the investigation of the solution structure of an elliptic-type equation containing a half-order operator derived through the factorization of the Cauchy-Riemann equation defined in the rectangle region. Under fulfillment of the Carleman's condition on the boundary of the rectangle region where the equation is set, the solution is constructed in explicit form. The most important result emerges from the study that a solution for the problem in the form of a Mittag-Leffler is found for the first time.
dc.identifier.doi10.1093/jigpal/jzaf074
dc.identifier.issn1367-0751
dc.identifier.issn1368-9894
dc.identifier.issue6
dc.identifier.scopus2-s2.0-105020992206
dc.identifier.scopusqualityQ2
dc.identifier.urihttps://doi.org./10.1093/jigpal/jzaf074
dc.identifier.urihttps://hdl.handle.net/20.500.12662/10704
dc.identifier.volume33
dc.identifier.wosWOS:001604779200001
dc.identifier.wosqualityQ2
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherOxford Univ Press
dc.relation.ispartofLogic Journal of the Igpl
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_WoS_20260128
dc.subjecthalf-order elliptic equation
dc.subjectCarleman's condition
dc.subjectMittag-Leffler series
dc.subjectCauchy-Riemann equation
dc.titleInvestigation of the solution of a half-order elliptic type equation with non-local boundary condition
dc.typeArticle

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