On a boundary problem for a nonlocal poisson equation with boundary operators of the hadamard type

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dc.contributor.authorTurmetov, Batirkhan
dc.contributor.authorShamsiev, Rakhim
dc.date.accessioned2024-07-12T20:49:25Z
dc.date.available2024-07-12T20:49:25Z
dc.date.issued2019en_US
dc.departmentFakülteler, İnsan ve Toplum Bilimleri Fakültesi, Matematik Bölümüen_US
dc.description.abstractIn this paper the solvability problems of some boundary value problems for a nonlocal Poisson equation are studied. A non-local Poisson equation is represented by using some orthogonal matrix. The properties and examples of such matrices are given. In the current boundary value problem, which being considered in the paper, the fractional order differentiation operators are used as boundary operators. These operators are defined as derivatives of the Hadamard-Caputo type. Note that in particular cases of the parameters of the boundary conditions we obtain well known conditions of the Dirichlet, Neumann, and Robin type problems [1]. For the problems under consideration, theorems on the existence and uniqueness of solutions are proved. The exact solvability conditions for the problem under study are found. In addition, we obtained representation for the solution of the fractional boundary problem for Poisson equation.en_US
dc.identifier.citationTurmetov, B. ve Shamsiev, R. (2019). On a boundary problem for a nonlocal poisson equation with boundary operators of the hadamard type. International Conference of Mathematical Sciences (ICMS 2019). s. 123.en_US
dc.identifier.endpage124en_US
dc.identifier.isbn978-605-2124-29-1
dc.identifier.startpage123en_US
dc.identifier.urihttps://hdl.handle.net/20.500.12415/2170
dc.language.isoenen_US
dc.publisherMaltepe Üniversitesien_US
dc.relation.ispartofInternational Conference of Mathematical Sciences (ICMS 2019)en_US
dc.relation.publicationcategoryUluslararası Konferans Öğesi - Başka Kurum Yazarıen_US
dc.rightsCC0 1.0 Universal*
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.rights.urihttp://creativecommons.org/publicdomain/zero/1.0/*
dc.snmzKY01535
dc.subjectBoundary value problemsen_US
dc.subjectFractional derivativesen_US
dc.subjectExistence and uniquenessen_US
dc.subjectNonlocal equationen_US
dc.subjectPoisson equationen_US
dc.titleOn a boundary problem for a nonlocal poisson equation with boundary operators of the hadamard typeen_US
dc.typeArticle
dspace.entity.typePublication

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