Frontiers in Applied Mathematics and Statistics, 2022 In this article, we construct exact traveling wave solutions of the loaded Korteweg-de Vries, the loaded modified Korteweg-de Vries, and the loaded Gardner equation by the functional variable method.
Bazar Babajanov, Fakhriddin Abdikarimov
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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. 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
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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 derivative in the
A.V. Pskhu +4 more
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Numerical-analytical method for solving initial-boundary value problem for loaded parabolic equation
Қарағанды университетінің хабаршысы. Математика сериясыAn initial-boundary value problem for a loaded parabolic equation in a rectangular domain was considered. By discretization with respect to a spatial variable, the problem under study is reduced to the initial problem for a system of loaded ordinary ...
A.T. Assanova +2 more
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On a problem for the parabolic-hyperbolic type equation of fractional order with non-linear loaded term [PDF]
Vestnik 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
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On a nonlocal boundary-value problem for a loaded parabolic-hyperbolic equation with three lines of degeneracy [PDF]
Vestnik 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
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Boundary control problem for a hyperbolic equation loaded along one of its characteristics
Қарағанды 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
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Нелокальная задача с интегральным условием для нагруженного уравнения теплопроводности
Vestnik 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.
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ON A NONLOCAL BOUNDARY-VALUE PROBLEM FOR THE MCKENDRICK VON FOERSTER LOADED EQUATION WITH CAPUTO OPERATOR [PDF]
Vestnik 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
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Numerical method for solving an initial-boundary value problem for a multidimensional loaded parabolic equation of a general form with conditions of the third kind [PDF]
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2022 An initial-boundary value problem is studied for a multidimensional loaded parabolic equation of general form with boundary conditions of the third kind. For a numerical solution, a locally one-dimensional difference scheme by A.A.Samarskii with order of
Zaryana Beshtokova
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