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Fredholm boundary-value problem for the system of fractional differential equations. [PDF]
Nonlinear Dyn, 2023 Boichuk O, Feruk V.
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Inverse Linear Problems for a Certain Class of Degenerate Fractional Evolution Equations
Journal of Mathematical Sciences, 2022 V. Fedorov, A. V. Nagumanova
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Russian Mathematics, 2018
The paper deals with the pseudoparabolic equation with fractional Gerasimov-Caputo derivative of order \(\alpha\) \[ \partial^\alpha_{0t}u=\dfrac{1}{x^m} \dfrac{\partial}{\partial x}\left(x^m k(x,t)\dfrac{\partial u}{\partial x}\right)+\dfrac{1}{x^m} \partial^\alpha_{0t}\dfrac{\partial}{\partial x}\left(x^m\eta(x)\dfrac{\partial u}{\partial x}\right ...
M. Beshtokov
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The paper deals with the pseudoparabolic equation with fractional Gerasimov-Caputo derivative of order \(\alpha\) \[ \partial^\alpha_{0t}u=\dfrac{1}{x^m} \dfrac{\partial}{\partial x}\left(x^m k(x,t)\dfrac{\partial u}{\partial x}\right)+\dfrac{1}{x^m} \partial^\alpha_{0t}\dfrac{\partial}{\partial x}\left(x^m\eta(x)\dfrac{\partial u}{\partial x}\right ...
M. Beshtokov
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Mathematical Notes
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Jamalov, B. I., Irgashev, B. Yu.
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Jamalov, B. I., Irgashev, B. Yu.
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Symmetries of fractional Allen–Cahn models with a Gerasimov–Caputo Derivative
Computational Mathematics and ModelingSergey A. Bogoslovskiy +1 more
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ADYGHE INTERNATIONAL SCIENTIFIC JOURNAL
The first boundary value problem in the rectangular region for the loaded fractional telegraph equation with Gerasimov–Caputo derivatives is investigated. By the method of reduction to the Volterra integral equation of the 2nd kind the solution of the problem is found. The existence and uniqueness theorem of the solution is proved.
F. M. Losanova, R. O. Kenetova
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The first boundary value problem in the rectangular region for the loaded fractional telegraph equation with Gerasimov–Caputo derivatives is investigated. By the method of reduction to the Volterra integral equation of the 2nd kind the solution of the problem is found. The existence and uniqueness theorem of the solution is proved.
F. M. Losanova, R. O. Kenetova
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ADYGHE INTERNATIONAL SCIENTIFIC JOURNAL
In this paper, for a linear ordinary delay differential equation with constant coefficients and with the Gerasimov–Caputo derivative, a solution to the nonlocal boundary value problem with conditions, connecting the value of the unknown function at the ...
M. G. Mazhgikhova
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In this paper, for a linear ordinary delay differential equation with constant coefficients and with the Gerasimov–Caputo derivative, a solution to the nonlocal boundary value problem with conditions, connecting the value of the unknown function at the ...
M. G. Mazhgikhova
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