On solvability of a boundary value problem for the Poisson equation with the boundary operator of a fractional order

被引：21

作者：

Torebek, Berikbol T. ^{[1
]}

Turmetov, Batirkhan K. ^{[1
]}

机构：

[1] Akhmet Yasawi Int Kazakh Turkish Univ, Dept Math, Turkestan 161200, Kazakhstan

来源：

BOUNDARY VALUE PROBLEMS | 2013年

关键词：

the Poison equation; boundary value problem; fractional derivative; the Riemann-Liouville operator; the Caputo operator;

D O I：

10.1186/1687-2770-2013-93

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this work, we investigate the solvability of a boundary value problem for the Poisson equation. The considered problem is a generalization of the known Dirichlet and Neumann problems on operators of a fractional order. We obtain exact conditions for solvability of the studied problem.

引用

页数：18

共 50 条

[1] On solvability of a boundary value problem for the Poisson equation with the boundary operator of a fractional order
Berikbol T Torebek
Batirkhan K Turmetov
[J]. Boundary Value Problems, 2013
[2] ON SOLVABILITY OF A BOUNDARY VALUE PROBLEM FOR A NONHOMOGENEOUS BIHARMONIC EQUATION WITH A BOUNDARY OPERATOR OF A FRACTIONAL ORDER
Berdyshev, A. S.
Cabada, A.
Turmetov, B. Kh.
[J]. ACTA MATHEMATICA SCIENTIA, 2014, 34 (06) : 1695 - 1706
[3] On Solvability of a Boundary Value Problem for a Nonlocal Biharmonic Equation with a Fractional Order Boundary Operator
Usmanov, K. I.
Turmetov, B. Kh.
Nazarova, K. Zh.
[J]. LOBACHEVSKII JOURNAL OF MATHEMATICS, 2022, 43 (11) : 3298 - 3309
[4] ON SOLVABILITY OF A BOUNDARY VALUE PROBLEM FOR AN INHOMOGENEOUS POLYHARMONIC EQUATION WITH A FRACTIONAL ORDER BOUNDARY OPERATOR
Turmetov, B. Kh.
[J]. UFA MATHEMATICAL JOURNAL, 2016, 8 (03): : 155 - 170
[5] ON SOLVABILITY OF A BOUNDARY VALUE PROBLEM FOR A NONHOMOGENEOUS BIHARMONIC EQUATION WITH A BOUNDARY OPERATOR OF A FRACTIONAL ORDER
A.S.BERDYSHEV
A.CABADA
B.Kh.TURMETOV
[J]. Acta Mathematica Scientia, 2014, 34 (06) : 1695 - 1706
[6] On Solvability of a Boundary Value Problem for a Nonlocal Biharmonic Equation with a Fractional Order Boundary Operator
K. I. Usmanov
B. Kh. Turmetov
K. Zh. Nazarova
[J]. Lobachevskii Journal of Mathematics, 2022, 43 : 3298 - 3309
[7] On solvability of some boundary value problem for polyharmonic equation with boundary operator of a fractional order
Berdyshev, A. S.
Cabada, A.
Turmetov, B. Kh.
[J]. APPLIED MATHEMATICAL MODELLING, 2015, 39 (15) : 4548 - 4569
[8] ON SOLVABILITY OF A BOUNDARY VALUE PROBLEM FOR THE POISSON EQUATION WITH A NONLOCAL BOUNDARY OPERATOR
Kadirkulov, B. J.
Kirane, M.
[J]. ACTA MATHEMATICA SCIENTIA, 2015, 35 (05) : 970 - 980
[9] On the Solvability of Some Boundary Value Problems for the Nonlocal Poisson Equation with Boundary Operators of Fractional Order
Usmanov, Kairat
Turmetov, Batirkhan
Nazarova, Kulzina
[J]. FRACTAL AND FRACTIONAL, 2022, 6 (06)
[10] On an exterior boundary value problem for the Laplace equation with boundary operator of fractional order
Turmetov, B. Kh
[J]. APPLICATIONS OF MATHEMATICS IN ENGINEERING AND ECONOMICS (AMEE'16), 2016, 1789

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