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Stabilization of a solution for two-dimensional loaded parabolic equation [PDF]
Қарағанды университетінің хабаршысы. Математика сериясы, 2020 In this paper we consider the stabilization problem of the solution of a boundary value problem for the heat equation with a loaded two-dimensional Laplace operator.
М.Т. Jenaliyev +3 more
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Boundary value problems for essentially-loaded parabolic equation [PDF]
Қарағанды университетінің хабаршысы. Математика сериясы, 2018 In this paper we investigate the first boundary value problem for essentially loaded equation of heat conduction, i.e. when laden terms are derivatives for any finite order.
M.I. Ramazanov +4 more
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A problem with M. Saigo operator in the boundary condition for a loaded heat conduction equation
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2012 The existence of a unique solution of the non-classical boundary value problem for the heat equation, the loaded value of the desired function u(x,y) on the boundary x=0 of the rectangular area Ω={(x,t ...
A. V. Tarasenko
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A problem with the operator M. Saigo in the boundary condition for a loaded heat conduction equation
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2012 The existence of a unique solution of the non-classical boundary value problem for the heat equation, the loaded value of the desired function $u(x, y)$ on the boundary $x = 0$ of the rectangular area $\Omega= \{ (x, t) : 0$ < $x$ < $l$, $0$ < $t$ < $T \}
Anna V Tarasenko
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On the non-uniqueness of the solution to a boundary value problem of heat conduction with a load in the form of a fractional derivative [PDF]
Қарағанды университетінің хабаршысы. Математика сериясы, 2022 The paper deals with the second boundary value problem for the loaded heat equation in the first quadrant.
M.T. Kosmakova +2 more
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Қарағанды университетінің хабаршысы. Математика сериясы, 2016 In the article the Volterra integral equations of the second kind with the given kernel are investigated. This kind of integral equations arises in the solving of some boundary value problems for essential loaded differential heat operator in an ...
A.N. Yesbayev, G.A. Yessenbayeva
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A fractionally loaded boundary value problem two-dimensional in the spatial variable [PDF]
Қарағанды университетінің хабаршысы. Математика сериясы, 2023 In the paper, the boundary value problem for the loaded heat equation is solved, and the loaded term is represented as the Riemann-Liouville derivative with respect to the time variable. The domain of the unknown function is the cone.
M.T. Kosmakova +2 more
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The Cauchy problem for the heat equation with a fractional load
Discrete and Continuous Dynamical Systems - Series SPraveen Agarwal
exaly +2 more sources
Nonlocal problem with the integral condition for a loaded heate equation [PDF]
Вестник КРАУНЦ. Физико-математические науки, 2021 В работе рассмотрена нелокальная задача с интегральным условием для нагруженного уравнения теплопроводности, где нагруженное слагаемое представляет собой производную второго порядка от неизвестной функции в начале координат. Доказано существование и единственность регулярного решения.
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Dentistry Journal, 2021 Introduction: Heat is a kinetic process whereby energy flows from between two systems; hot-to-cold objects. In oro-dental implantology, conductive heat transfer/(or thermal stress) is a complex physical phenomenon to analyze and consider in treatment planning.
Grigorios P. Panotopoulos +1 more
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