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A nonlocal fractional Helmholtz equation

Mokhtar KiraneBatirkhan Kh. Turmetov, Akhmet Yasawi University, 161200, Sattarkhanov st., 29, Turkestan, KazakhstanBatirkhan TurmetovBatirkhan Kh. Turmetov, Akhmet Yasawi University, 161200, Sattarkhanov st., 29, Turkestan, KazakhstanBerikbol T. TorebekBatirkhan Kh. Turmetov, Akhmet Yasawi University, 161200, Sattarkhanov st., 29, Turkestan, Kazakhstan
2017en
ABI

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In this paper we study some boundary value problems for a fractional analogue of second order elliptic equation with an involution perturbation in a rectangular domain. Theorems on existence and uniqueness of a solution of the considered problems are proved by spectral method.

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