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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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COMPOSITIONS OF FRACTIONAL DERIVATIVES AS DZHRBASHYAN - NERSESYAN DERIVATIVE

Челябинский физико-математический журнал
The issues of unique solvability for a special initial value problem to two classes of a linear inhomogeneous equation with a derivative of Dzhrbashyan - Nersesyan are investigated.
E. Izhberdeeva
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Quasilinear Equations with a Sectorial Set of Operators at Gerasimov–Caputo Derivatives

Proceedings of the Steklov Institute of Mathematics, 2023
V. E. Fedorov, K. Boyko
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