Results 1 to 10 of about 238,106 (171)

To solving the fractionally loaded heat equation

Қарағанды университетінің хабаршысы. Математика сериясы, 2021
In this paper we consider a boundary value problem for a fractionally loaded heat equation in the class of continuous functions. Research methods are based on an approach to the study of boundary value problems, based on their reduction to integral ...
M.T. Kosmakova, S.A. Iskakov, L.Zh. Kasymova   +2 more
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Boundary value problem for the heat equation with a load as the Riemann-Liouville fractional derivative [PDF]

Қарағанды университетінің хабаршысы. Математика сериясы, 2022
A boundary value problem for a fractionally loaded heat equation is considered in the first quadrant. The loaded term has the form of the Riemann-Liouville’s fractional derivative with respect to the time variable, and the order of the ...
A.V. Pskhu, M.T. Kosmakova, D.M. Akhmanova, L.Zh. Kassymova, A.A. Assetov   +4 more
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On strongly loaded heat equations

Қарағанды университетінің хабаршысы. Математика сериясы, 2019
The article is devoted to the research of boundary value problems for the spectrum - loaded operator of heat conduction with the moving point of loading to the temporary axle in zero or on infinity. For strongly loaded parabolic 2k - order equations the
D.M. Akhmanova, M.T. Kosmakova, B.A. Shaldykova   +2 more
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ON STABILIZATION PROBLEM FOR A LOADED HEAT EQUATION: THE TWO-DIMENSIONAL CASE

Вестник КазНУ. Серия математика, механика, информатика, 2021
One of the important properties that characterize the behavior of solutions of boundary value problems for differential equations is stabilization, which has a direct relationship with the problems of controllability.
A. M. Ayazbaeva, K. B. Imanberdiye, A. S. Kassymbekova   +2 more
doaj   +2 more sources

On a stability of a solution of the loaded heat equation

Қарағанды университетінің хабаршысы. Математика сериясы, 2018
Steadily growing interest in study of loaded differential equations is explained by the range of their applications and a circumstance that loaded equations make a special class of functional - differential equations with specific problems.
M.T. Jenaliyev, M.M. Amangaliyeva, K.B. Imanberdiyev, M.I. Ramazanov   +3 more
doaj   +2 more sources

On the solvability of the first boundary value problem for the loaded equation of heat conduction

Қарағанды университетінің хабаршысы. Математика сериясы, 2018
In this paper we consider the first boundary value problem for the loaded equation of heat conduction in a quarter plane. The loaded term is the trace of the fractional derivative of order ν, 0 ≤ ν ≤ 1 with respect to the time variable on the line x = t.
M.T. Jenaliyev, S.A. Iskakov, M.I. Ramazanov, Zh.M. Tuleutaeva   +3 more
doaj   +2 more sources

Well-Posedness of Problems for the Heat Equation with a Fractional-Loaded Term and Memory

Dynamics
We investigate the Cauchy problem for a heat equation incorporating variable diffusion coefficients and fractional memory effects modeled by a separable convolution kernel.
Umida Baltaeva, Bobur Khasanov, Omongul Egamberganova, Hamrobek Hayitbayev   +3 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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Existence and uniqueness of the solution to initial and inverse problems for integro-differential heat equations with fractional load

Electronic Journal of Differential Equations
This work is devoted to the unique solvability of the direct and inverse problems for a multidimensional heat equation with a fractional load in Holder spaces. In the problem under consideration, the loaded term is in the form of a fractional integral operator for the time variable.
Ravi P. Agarwal, Umida Baltaeva, Florence Hubert, Boburjon Khasanov   +3 more
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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, K.A. Izhanova, A.N. Khamzeyeva   +2 more
doaj   +3 more sources