Batirkhan Turmetov, Maira Koshanova, Kayrat Usmanov
Abstract:
In this article 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 Neumann problem and analogues of periodic boundary-value
problems for circular domains. The exact conditions for solvability of
these problems are found.
Submitted December 21, 2015. Published June 27, 2016.
Math Subject Classifications: 35J05, 35J25, 34B10, 26A33.
Key Words: Fractional derivative; Hadamard operator; Poisson equation;
Neumann problem.
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Batirkhan Kh. Turmetov Department of Mathematics Akhmet Yasawi International Kazakh-Turkish University 161200 Turkistan, Kazakhistan email: batirkhan.turmetov@ayu.edu.kz |
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Maira D. Koshanova Department of Mathematics Akhmet Yasawi International Kazakh-Turkish University 161200 Turkistan, Kazakhistan email: maira_koshanova@mail.ru |
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Kayrat I. Usmanov Department of Mathematics Akhmet Yasawi International Kazakh-Turkish University 161200 Turkistan, Kazakhistan email: y_kairat@mail.ru |
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