About solvability of some boundary value problems for Poisson equation in a ball

In the present 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 val...

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Bibliographic Details
Main Authors: Koshanova, Maira D., Usmanov, Kairat I., Turmetov, Batirkhan Kh
Format: Conference Proceeding
Language:English
Subjects:
Boundary value problems
Differential equations
Domains
Neumann problem
Operators
Poisson equation
Online Access:Get full text
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Summary:In the present 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.
ISSN:0094-243X
1551-7616
DOI:10.1063/1.4959759