Zobrazeno 1 - 10
of 59
pro vyhledávání: '"Berikbol T. Torebek"'
Publikováno v:
Electronic Journal of Differential Equations, Vol 2018, Iss 90,, Pp 1-10 (2018)
In this remark we study the boundary-value problems for a fractional analogue of the Laplace equation with integral boundary conditions in rectangular and half-strip domains. We prove the existence and uniqueness of solutions by using the spectral
Externí odkaz:
https://doaj.org/article/14df9eefcb804d52865bda855f815abc
Publikováno v:
Electronic Journal of Differential Equations, Vol 2017, Iss 257,, Pp 1-13 (2017)
We consider a class of problems modeling the process of determining the temperature and density of nonlocal sub-diffusion sources given by initial and finite temperature. Their mathematical statements involve inverse problems for the fractional-ti
Externí odkaz:
https://doaj.org/article/68985e8f357c4921ba84eca8e4d73707
Autor:
Berikbol T. Torebek
Publikováno v:
Electronic Journal of Differential Equations, Vol 2016, Iss 252,, Pp 1-9 (2016)
In this article we consider the Robin-Cauchy problem for multidimensional elliptic equations in a cylindrical domain. The method of spectral expansion in eigenfunctions of the Robin-Cauchy problem for equations with deviating argument establishes
Externí odkaz:
https://doaj.org/article/e5f1f0875f6f49b58500bf89dd8f74c8
Publikováno v:
Electronic Journal of Differential Equations, Vol 2015, Iss 244,, Pp 1-9 (2015)
In this article we study a generalized third boundary-value problem for homogeneous biharmonic equation in a unit ball with general boundary operators up to third order inclusively, containing normal derivatives and Laplacian. A uniqueness theorem
Externí odkaz:
https://doaj.org/article/6ceeb07337e24b989db1e36dc195743f
Publikováno v:
Electronic Journal of Differential Equations, Vol 2014, Iss 157,, Pp 1-14 (2014)
In this article, we consider a class of nonlocal problems for the Laplace equation with boundary operators of fractional order. We prove the existence, uniqueness and a representation of the solutions. Also it is shown that the smoothness of solut
Externí odkaz:
https://doaj.org/article/f597e561cd7f49258270afb2528ce686
Publikováno v:
Fractional Calculus and Applied Analysis. 26:111-146
In the present paper, we study the Cauchy-Dirichlet problem to the nonlocal nonlinear diffusion equation with polynomial nonlinearities $$\mathcal{D}_{0|t}^{\alpha }u+(-\Delta)^s_pu=\gamma|u|^{m-1}u+\mu|u|^{q-2}u,\,\gamma,\mu\in\mathbb{R},\,m>0,q>1,$
Publikováno v:
Mathematische Nachrichten.
Publikováno v:
Mediterranean Journal of Mathematics. 20
Publikováno v:
Quaestiones Mathematicae; Vol. 45 No. 7 (2022); 1071-1089
The purpose of this paper is to establish the solvability results to direct and inverse problems for time-fractional pseudo-parabolic equations with the self-adjoint operators. We are especially interested in proving existence and uniqueness of the s
Autor:
Berikbol T. Torebek, Michael Ruzhansky
Publikováno v:
FRACTIONAL CALCULUS AND APPLIED ANALYSIS
The paper is devoted to study multidimensional van der Corput-type estimates for the intergrals involving Mittag-Leffler functions. The generalisation is that we replace the exponential function with the Mittag-Leffler-type function, to study multidi