Results 101 to 110 of about 47,860 (125)

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 the case of the Holder function in the right-hand side of the equation is obtained; the uniqueness
K.V. Boyko
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Subordination Principle for Equations with Proportional Distributed Gerasimov–Caputo Derivatives

Lobachevskii Journal of Mathematics
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Fedorov, V. E., Filin, N. V.
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Identification Problem for Strongly Degenerate Evolution Equations with the Gerasimov–Caputo Derivative

Differential Equations, 2020
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Fedorov, V. E., Kostić, M.
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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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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
semanticscholar   +4 more sources

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 investigated.
T. A. Zakharova
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A Nonlocal Boundary Value Problem with the Frankl Condition for an Equation of Mixed Parabolic-Hyperbolic Type with the Fractional Gerasimov–Caputo Operator

Lobachevskii Journal of Mathematics, 2022
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Islomov, B. I., Akhmadov, I. A.
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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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Inverse Problem for a Linear Equation with the Quadrat of Gerasimov–Caputo Fractional Analogue of the Pseudoparabolic Operator and Degeneration

Lobachevskii Journal of Mathematics
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Yuldashev, T. K., Madrakhimov, R. M.
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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 end of the interval with the values at interior points, is constructed.
M. G. Mazhgikhova
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