Results 21 to 30 of about 210 (124)
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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Mathematics, 2020 We consider the principle of least action in the context of fractional calculus. Namely, we derive the fractional Euler–Lagrange equation and the general equation of motion with the composition of the left and right fractional derivatives defined on ...
Liana Eneeva +2 more
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Fractal and Fractional, 2022 In this study, the model Riccati equation with variable coefficients as functions, as well as a derivative of a fractional variable order (VO) of the Gerasimov-Caputo type, is used to approximate the data for some physical processes with saturation.
Dmitriy Tverdyi, Roman Parovik
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About one differential model of dynamics of groundwater [PDF]
, 2023 When modeling the flow of groundwater and streams together, two different approaches are used, using hydraulic and hydrological models as channel flow models. The former is based on mathematical equations of water movement in open channels.
Abdullayev A. A. +2 more
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Vestnik KRAUNC: Fiziko-Matematičeskie Nauki, 2023 The article presents a software implementation of a parallel efficient and fast computational algorithm for solving the Cauchy problem for a nonlinear differential equation of a fractional variable order.
Tverdyi, D.A. +3 more
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