GeosciencesUsing the data of radon accumulation in a chamber with excess volume at one of the points of the Kamchatka subsurface gas-monitoring network, the change in radon flux density due to seismic waves and post-seismic relaxation of the medium is shown.
Dmitrii Tverdyi +2 more
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ComputationThe article presents a study of the computational complexity and efficiency of various parallel algorithms that implement the numerical solution of the equation in the hereditary α(t)-model of radon volumetric activity (RVA) in a storage chamber.
Dmitrii Tverdyi
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An efficient method for the analytical study of linear and nonlinear time-fractional partial differential equations with variable coefficients [PDF]
, 2023 The residual power series method is effective for obtaining approximate analytical solutions to fractional-order differential equations. This method, however, requires the derivative to compute the coefficients of terms in a series solution.
Akgül, A. +2 more
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On the solvability of equations with a distributed fractional derivative given by the Stieltjes integral [PDF]
, 2022 Linear equations in Banach spaces with a distributed fractional derivative given by the Stieltjes integral and with a closed operator A in the right-hand side are ...
Fedorov, V. E. +3 more
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Boundary value problem for a system of partial differential equations with the Dzhrbashyan–Nersesyan fractional differentiation operators [PDF]
, 2022 A boundary value problem in a rectangular domain for a system of partial differential equations with the Dzhrbashyan-Nersesyan fractional differentiation operators with constant coefficients is studied in the case when the matrix coefficients of the ...
M.O. Mamchuev
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ОБ ОДНОЙ ОБРАТНОЙ ЗАДАЧЕ ТИПА БИЦАДЗЕ-САМАРСКОГО ДЛЯ ПАРАБОЛИЧЕСКОГО УРАВНЕНИЯ ДРОБНОГО ПОРЯДКА [PDF]
, 2023 In this paper, we study a nonlocal inverse problem of the Bitsadze-Samarskii type for a degenerate parabolic equation of fractional order with the Gerasimov-Caputo operator. The spectral method is used to solve the problem. Using this method, the problem
Кадиркулов , Бахтиёр +1 more
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STUDY OF THE SINGULAR POINTS OF THE FRACTIONAL OSCILLATOR VAN DER POL-DUFFING [PDF]
Vestnik KRAUNC: Fiziko-Matematičeskie Nauki, 2019 A study is conducted on the asymptotic stability of the rest points of the fractional oscillator Van der Pol-Duffing. The fractional van der Pol-Duffing oscillator is an oscillatory system of two differential equations with fractional order derivatives ...
Е. R. Novikova
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Задача Дирихле для обобщенного уравнения Лаврентьева-Бицадзе с дробной производной Герасимова-Капуто [PDF]
, 2020 Исследована задача Дирихле для дифференциального уравнения в частных производных второго порядка с дробной производной по временной переменной в прямоугольной области. В случае если порядок дробного дифференцирования равен двум, рассматриваемое уравнение
Масаева, О. Х.
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Integro-differential equations with bounded operators in Banach spaces [PDF]
, 2022 The paper investigates integro-differential equations in Banach spaces with operators, which are a composition of convolution and differentiation operators.
A.D. Godova, B.T. Kien, V.E. Fedorov
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