On solvability of a boundary value problem for the Poisson equation with the boundary operator of a fractional order
Berikbol T. TorebekDepartment of Mathematics, Akhmet Yasawi International Kazakh-Turkish University, Turkestan, 161200, KazakhstanBatirkhan TurmetovDepartment of Mathematics, Akhmet Yasawi International Kazakh-Turkish University, Turkestan, 161200, Kazakhstan
2013en
ABI
Abstract
In this work, we investigate the solvability of a boundary value problem for the Poisson equation. The considered problem is a generalization of the known Dirichlet and Neumann problems on operators of a fractional order. We obtain exact conditions for solvability of the studied problem.
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Cited by 30 references