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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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Linear inverse problems for degenerate evolution equations with the Gerasimov–Caputo derivative in the sectorial case

Журнал «Математические заметки СВФУ», 2020
Исследуется однозначная разрешимость линейных обратных задач с независящим от времени неизвестным коэффициентом для эволюционного уравнения в банаховом пространстве с вырожденным оператором при дробной производной Герасимова-Капуто. Предполагается, что пара операторов в уравнении (при дробной производной и при искомой функции) порождает разрешающее ...
Nagumanova, Anna Viktorovna   +1 more
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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 the case of the Holder function in the right-hand side of the equation is obtained; the uniqueness
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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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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.
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