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To solving the fractionally loaded heat equation

open access: yesҚарағанды 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

On strongly loaded heat equations

open access: yesҚарағанды 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

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]

open access: yesҚарағанды университетінің хабаршысы. Математика сериясы, 2022
The paper deals with the second boundary value problem for the loaded heat equation in the first quadrant. The loaded term contains a fractional derivative in the Caputo sense of an order α, 2 < α < 3. The boundary value problem is reduced to an integro-
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]

open access: yesҚарағанды 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 derivative in the
A.V. Pskhu   +4 more
doaj   +2 more sources

On a problem for the parabolic-hyperbolic type equation of fractional order with non-linear loaded term [PDF]

open access: yesVestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2021
We study the existence and uniqueness of solution of the non-local problem for the parabolic-hyperbolic type equation with non linear loaded term involving Caputo derivative \[ f(x) = \begin{cases} {u_{xx}}-_CD_{0y}^\alpha u+a_1(x)u^{p_1}(x,0), y 0, \\
Obidjon Kh. Abdullaev
doaj   +1 more source

On a nonlocal boundary-value problem for a loaded parabolic-hyperbolic equation with three lines of degeneracy [PDF]

open access: yesVestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2021
The work is devoted to the proof of the uniqueness and existence of a solution of a nonlocal problem for a loaded parabolic-hyperbolic equation with three lines of change of type.
Bozor I. Islomov, Jurat A. Xolbekov
doaj   +1 more source

Boundary control problem for a hyperbolic equation loaded along one of its characteristics

open access: yesҚарағанды университетінің хабаршысы. Математика сериясы, 2022
This paper investigates the unique solvability of the boundary control problem for a one-dimensional wave equation loaded along one of its characteristic curves in terms of a regular solution.
A.Kh. Attaev
doaj   +1 more source

Нелокальная задача с интегральным условием для нагруженного уравнения теплопроводности

open access: yesVestnik KRAUNC: Fiziko-Matematičeskie Nauki, 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.
Сагдуллаева, М.М.
doaj   +1 more source

ON A NONLOCAL BOUNDARY-VALUE PROBLEM FOR THE MCKENDRICK VON FOERSTER LOADED EQUATION WITH CAPUTO OPERATOR [PDF]

open access: yesVestnik KRAUNC: Fiziko-Matematičeskie Nauki, 2017
In this paper we consider a nonlocal boundary value problem with an integral condition for the McKendrick von Foerster loaded equation with the Caputo operator. The existence and uniqueness theorem for the solution of the problem is proved.
R. Z. Berezgova
doaj   +1 more source

Minimal load shedding using the swing equation [PDF]

open access: yes2017 IEEE Manchester PowerTech, 2017
Load shedding constitutes the very last resort for preventing total blackouts and cascading events. Conventional load shedding schemes, which are massively applied in industrial practice, adopt a stepwise approach that usually causes overshedding or fails to prevent frequency decay above the allowable limits.
Tofis, Y.   +5 more
openaire   +2 more sources

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