ON SOME BOUNDARY VALUE PROBLEMS FOR NONHOMOGENOUS POLYHARMONIC EQUATION WITH BOUNDARY OPERATORS OF FRACTIONAL ORDER

doi:10.1016/S0252-9602(16)30043-1

数学物理学报(英文版) ›› 2016, Vol. 36 ›› Issue (3): 831-846.doi: 10.1016/S0252-9602(16)30043-1

ON SOME BOUNDARY VALUE PROBLEMS FOR NONHOMOGENOUS POLYHARMONIC EQUATION WITH BOUNDARY OPERATORS OF FRACTIONAL ORDER

Batirkhan TURMETOV^1,2

1. Institute of Mathematics and Mathematical Modeling, Ministry of Education and Science Republic of Kazakhstan, 050010, Almaty, Kazakhistan;
2. Department of Mathematics, Akhmet Yasawi International Kazakh-Turkish University, 161200, Turkistan, Kazakhistan

收稿日期:2015-03-10 修回日期:2015-11-19 出版日期:2016-06-25 发布日期:2016-06-25
作者简介:Batirkhan TURMETOV,E-mail:turmetovbh@mail.ru,batirkhan.turmetov@iktu.kz
基金资助:
This research is financially supported by a grant from the Ministry of Science and Education of the Republic of Kazakhstan (0819/GF4).

ON SOME BOUNDARY VALUE PROBLEMS FOR NONHOMOGENOUS POLYHARMONIC EQUATION WITH BOUNDARY OPERATORS OF FRACTIONAL ORDER

Batirkhan TURMETOV^1,2

1. Institute of Mathematics and Mathematical Modeling, Ministry of Education and Science Republic of Kazakhstan, 050010, Almaty, Kazakhistan;
2. Department of Mathematics, Akhmet Yasawi International Kazakh-Turkish University, 161200, Turkistan, Kazakhistan

Received:2015-03-10 Revised:2015-11-19 Online:2016-06-25 Published:2016-06-25
Supported by:
This research is financially supported by a grant from the Ministry of Science and Education of the Republic of Kazakhstan (0819/GF4).

摘要/Abstract

摘要：

In the paper we study questions about solvability of some boundary value problems for a non-homogenous poly-harmonic equation. As a boundary operator we consider differentiation operator of fractional order in Miller-Ross sense. The considered problem is a generalization of well-known Dirichlet and Neumann problems.

关键词: polyharmonic equation, boundary value problem, Dirichlet problem, Neumann problem, fractional derivative, Miller-Ross operator

Abstract:

Key words: polyharmonic equation, boundary value problem, Dirichlet problem, Neumann problem, fractional derivative, Miller-Ross operator

中图分类号:

35J48

Batirkhan TURMETOV. ON SOME BOUNDARY VALUE PROBLEMS FOR NONHOMOGENOUS POLYHARMONIC EQUATION WITH BOUNDARY OPERATORS OF FRACTIONAL ORDER[J]. 数学物理学报(英文版), 2016, 36(3): 831-846.

Batirkhan TURMETOV. ON SOME BOUNDARY VALUE PROBLEMS FOR NONHOMOGENOUS POLYHARMONIC EQUATION WITH BOUNDARY OPERATORS OF FRACTIONAL ORDER[J]. Acta mathematica scientia,Series B, 2016, 36(3): 831-846.

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ON SOME BOUNDARY VALUE PROBLEMS FOR NONHOMOGENOUS POLYHARMONIC EQUATION WITH BOUNDARY OPERATORS OF FRACTIONAL ORDER

ON SOME BOUNDARY VALUE PROBLEMS FOR NONHOMOGENOUS POLYHARMONIC EQUATION WITH BOUNDARY OPERATORS OF FRACTIONAL ORDER

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