Results 1 to 10 of about 41,466 (132)
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 +2 more
doaj +2 more sources
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 +4 more
doaj +4 more sources
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 +2 more
doaj +2 more sources
Investigation of the model for the essentially loaded heat equation
Eurasian Physical Technical Journal, 2019 The studied problem for the essentially loaded heat equation is connected with mathematical modeling of thermophysical processes in the electric arc of high-current disconnecting devices. Experimental studies of such phenomena are difficult due to their
A.N. Yesbayev +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 +3 more
doaj +2 more sources
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 +2 more
doaj +2 more sources
Eurasian Physical Technical Journal, 2019 Mathematical modeling of thermophysical processes in an electric arc of high-current disconnecting apparatuses leads to a boundary value problem for an essentially loaded heat conduction equation. Taking into account the transience of such phenomena, in
A.N. Yesbayev +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 +3 more
doaj +2 more sources
Well-Posedness of Problems for the Heat Equation with a Fractional-Loaded Term and Memory
DynamicsWe investigate the Cauchy problem for a heat equation incorporating variable diffusion coefficients and fractional memory effects modeled by a separable convolution kernel.
Umida Baltaeva +3 more
doaj +2 more sources
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
doaj +2 more sources