About Solvability of Some Boundary Value Problems for Poisson Equation in the Ball

Maira Koshanova, Batirkhan Turmetov, Kairat Usmanov


In the paper we study properties of some integro - differential operators of fractional order. As an application of the properties of these operators for Poisson equation we examine questions on solvability of a fractional analogue of the Neumann problem and analogues of periodic boundary value problems for
circular domains. The exact conditions for solvability of these problems are found.

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