Zobrazeno 1 - 10
of 44
pro vyhledávání: '"Batirkhan Turmetov"'
Publikováno v:
Boundary Value Problems, Vol 2024, Iss 1, Pp 1-21 (2024)
Abstract In this paper, the solvability of a new class of nonlocal boundary value problems for the Poisson equation is studied. Nonlocal conditions are specified in the form of a connection between the values of the unknown function at different poin
Externí odkaz:
https://doaj.org/article/1f2827bbdbfc4c6c8fc982752745cebf
Autor:
Batirkhan Turmetov, Valery Karachik
Publikováno v:
AIMS Mathematics, Vol 9, Iss 3, Pp 6832-6849 (2024)
In this paper, the solvability of some inverse problems for a nonlocal analogue of a fourth-order parabolic equation was studied. For this purpose, a nonlocal analogue of the biharmonic operator was introduced. When defining this operator, transforma
Externí odkaz:
https://doaj.org/article/ca7d2541ea5f4a269da4bff6af57441e
Publikováno v:
Fractal and Fractional, Vol 7, Iss 5, p 404 (2023)
The paper considers the solvability of some inverse problems for fractional differential equations with a nonlocal biharmonic operator, which is introduced with the help of involutive transformations in two space variables. The considered problems ar
Externí odkaz:
https://doaj.org/article/125c6ff3fdc9425aa1037eaab3bc424a
Autor:
Batirkhan Turmetov, Valery Karachik
Publikováno v:
Axioms, Vol 11, Iss 10, p 543 (2022)
In this paper, we study the eigenfunctions to one nonlocal second-order differential operator with double involution. We give an explicit form of the eigenfunctions to the boundary value problem in the unit ball with Dirichlet conditions on the bound
Externí odkaz:
https://doaj.org/article/8e104d2da2d249f7b8eb18a7ee4416e7
Publikováno v:
Fractal and Fractional, Vol 6, Iss 6, p 308 (2022)
In this paper, in the class of smooth functions, integration and differentiation operators connected with fractional conformable derivatives are introduced. The mutual reversibility of these operators is proved, and the properties of these operators
Externí odkaz:
https://doaj.org/article/9ce06aa321e34ce4b4b6fe0ad58f2b2f
Publikováno v:
Mathematics, Vol 10, Iss 7, p 1158 (2022)
Solvability issues of four boundary value problems for a nonlocal biharmonic equation in the unit ball are investigated. Dirichlet, Neumann, Navier and Riquier–Neumann boundary value problems are studied. For the problems under consideration, exist
Externí odkaz:
https://doaj.org/article/3ef1ef79c45f48ecb7292f92cc6aae3f
Autor:
Batirkhan Turmetov
Publikováno v:
Electronic Journal of Qualitative Theory of Differential Equations, Vol 2018, Iss 25, Pp 1-14 (2018)
In this paper, we propose a new method for constructing a solution of the integro-differential equations of Volterra type. The particular solutions of the homogeneous and of the inhomogeneous equation will be constructed and the Cauchy type problems
Externí odkaz:
https://doaj.org/article/28a012771a3b4940b38439a8dd524f33
Autor:
Batirkhan Turmetov, Valery Karachik
Publikováno v:
Symmetry, Vol 13, Iss 10, p 1781 (2021)
We study the eigenfunctions and eigenvalues of the boundary value problem for the nonlocal Laplace equation with multiple involution. An explicit form of the eigenfunctions and eigenvalues for the unit ball are obtained. A theorem on the completeness
Externí odkaz:
https://doaj.org/article/b3dffe26e62349f5a8e1ff6a00fd1aec
Publikováno v:
Mathematics, Vol 9, Iss 17, p 2020 (2021)
A nonlocal analogue of the biharmonic operator with involution-type transformations was considered. For the corresponding biharmonic equation with involution, we investigated the solvability of boundary value problems with a fractional-order boundary
Externí odkaz:
https://doaj.org/article/2f15c97e957e4d2998718ec6f3051487
Publikováno v:
Electronic Journal of Differential Equations, Vol 2016, Iss 161,, Pp 1-12 (2016)
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 pro
Externí odkaz:
https://doaj.org/article/6a897553dce7432a8396eebeb2c1dcd7