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Symmetries of Fractional Guéant–Pu Model with Gerasimov–Caputo Time-Derivative

Journal of Mathematical Sciences, 2023
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Yadrikhinskiy, Kh. V., Fedorov, V. E.
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To Boundary-Value Problems for Degenerating Pseudoparabolic Equations With Gerasimov–Caputo Fractional Derivative

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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Dirichlet-Type Problem for an Even-Order Degenerate Equation with Gerasimov–Caputo Fractional Derivative

Mathematical Notes
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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 Modeling
Sergey A. Bogoslovskiy, Vladimir E. Fedorov   +1 more
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Initial value problem for a fractional order equation with the Gerasimov–Caputo derivative with involution

News of the Kabardin-Balkar Scientific Center of RAS
L. M. Eneeva
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Boundary value problem for the loaded fractional telegraph equation with Gerasimov–Caputo derivatives

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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Nonlocal boundary value problem for a linear ordinary delay differential equation with Gerasimov–Caputo derivative

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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MILD SOLUTIONS OF QUASILINEAR EQUATIONS WITH GERASIMOV-CAPUTO DERIVATIVES AND A SECTORIAL OPERATOR

Челябинский физико-математический журнал
The issues of unique solvability in the sense of mild solutions of the Cauchy problem for quasilinear equations in Banach spaces solved with respect to the highest fractional Gerasimov-Caputo derivative, with a sectorial operator in the linear part, are ...
T. A. Zakharova
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LINEAR AND QUASILINEAR EQUATIONS WITH SEVERAL GERASIMOV - CAPUTO DERIVATIVES

Челябинский физико-математический журнал
A representation of a solution of the Cauchy problem for a linear inhomogeneous equation solved with respect to the oldest derivative with several fractional Gerasimov - Caputo derivatives and with a sectorial pencil of linear closed operators at them in
K.V. Boyko
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Parallel algorithms for modelling two-dimensional non-equilibrium salt transfer processes on the base of fractional derivative model

Fractional Calculus and Applied Analysis, 2018
Modelling of salt transfer processes in fractal structured media has been considered on the base of fractional derivative equations with Caputo-Gerasimov derivatives with respect to space variables.
Vsevolod Bohaienko
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