Results 111 to 120 of about 210 (124)

LINEAR INHOMOGENEOUS EQUATIONS WITH GERASIMOV–CAPUTO DERIVATIVES AND GENERATORS OF STRONGLY CONTINUOUS FAMILIES

Journal of Mathematical Sciences
Vladimir Fedorov
exaly   +2 more sources

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, Fedorov, Vladimir Evgen'evich   +1 more
openaire   +1 more source

Group Analysis of Equations with the Gerasimov–Caputo Derivative Using the Example of the Guéant–Pu Equation

Computational Mathematics and Modeling
exaly   +2 more sources

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.
openaire   +2 more sources

Boundary value problem for a pseudohyperbolic equation with the Gerasimov–Caputo fractional derivatives of various orders

Computational Mathematics and Modeling
M. A. Kerefov, S. Kh. Gekkieva
exaly   +2 more sources

Refinement of Variable Order Fractional Derivative of Gerasimov-Caputo Type by Multidimensional Levenberg-Marquardt Optimization Method

Springer Proceedings in Mathematics and Statistics
Дмитрий Твёрдый
exaly   +2 more sources

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
openaire   +1 more source

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
openaire   +1 more source

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.
openaire   +1 more source

On one loaded mixed-type integro-differential equation with fractional Gerasimov-Caputo operators

Итоги науки и техники Серия «Современная математика и ее приложения Тематические обзоры», 2022
Tursun Kamaldinovich Yuldashev, Erkinjon Tulkinovich Karimov   +1 more
openaire   +1 more source