Results 11 to 20 of about 47,860 (125)

Inverse Problem for a Partial Differential Equation with Gerasimov–Caputo-Type Operator and Degeneration [PDF]

Fractal and Fractional, 2021
In the three-dimensional open rectangular domain, the problem of the identification of the redefinition function for a partial differential equation with Gerasimov–Caputo-type fractional operator, degeneration, and integral form condition is considered ...
Tursun K. Yuldashev, Bakhtiyar J. Kadirkulov   +1 more
doaj   +3 more sources

A fractional equation with left-sided fractional Bessel derivatives of Gerasimov-Caputo type [PDF]

Mathematics, 2019
In this article we propose and study a method to solve ordinary differential equations with left-sided fractional Bessel derivatives on semi-axes of Gerasimov-Caputo type.
Shishkina, E., Sitnik, S.
core   +7 more sources

Inverse Problem for Evolutionary Equation with the Gerasimov – Caputo Fractional Derivative in the Sectorial Case

Известия Иркутского государственного университета: Серия "Математика", 2019
We investigates the unique solvability of a class of linear inverse problems with a time-independent unknown coefficient in an evolution equation in Banach space, which is resolved with respect to the fractional Gerasimov – Caputo derivative.
V.E. Fedorov, A. V. Nagumanova
doaj   +3 more sources

Cauchy problem for a system of equations with the partial Gerasimov – Caputo derivatives

REPORTS ADYGE (CIRCASSIAN) INTERNATIONAL ACADEMY OF SCIENCES, 2021
For the system of equations with the partial Gerasimov – Caputo derivatives, a general representation of regular in a rectangular domain solutions is constructed. Cauchy problem is investigated.
M.O. Mamchuev, null null
core   +3 more sources

О задаче оптимизации для определения вида функциональной зависимости переменного порядка дробной производной типа Герасимова-Капуто

Vestnik KRAUNC: Fiziko-Matematičeskie Nauki
При решении задач математического моделирования часто приходится обращаться к теории интегрально-дифференциального исчисления. С ее помощью можно описывать динамические процессы самой разной природы.
Твёрдый, Д.А., Паровик, Р.И.   +1 more
doaj   +3 more sources

Distributed control for semilinear equations with Gerasimov-Caputo derivatives

Журнал «Математические заметки СВФУ», 2021
Рассматривается задача оптимального управления для полулинейных эволюционных уравнений с младшими дробными производными, как разрешенных относительно старшей дробной производной, так и с вырожденным линейным оператором при ней.
Б.Т. Киен, Г.Д. Байбулатова, М.В. Плеханова   +2 more
core   +3 more sources

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

Journal of Mathematical Sciences, 2023
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yadrikhinskiy, Kh. V., Fedorov, V. E.
openaire   +3 more sources

Research of the hereditary dynamic Riccati system with modification fractional differential operator of Gerasimov-Caputo [PDF]

AIP Conference Proceedings, 2021
In this paper, we study the Cauchy problem for the Riccati differential equation with constant coefficients and a modified Gerasimov-Caputo type fractional differential operator of variable order. Using Newton's numerical algorithm, calculation curves are constructed taking into account different values of the Cauchy problem parameters. The calculation
Tverdyi, Dmitriy, Parovik, Roman
openaire   +4 more sources

Non-Local Initial-Boundary Value Problem for a Degenerate Fourth-Order Equation with a Fractional Gerasimov-Caputo Derivative

Вестник КРАУНЦ. Физико-математические науки, 2023
В последнее время интенсивно изучаются начально – граничные задачи в прямоугольной области для дифференциальных уравнений в частных производных как четного, так и нечетного порядка. При этом в качестве объекта исследования, в основном, берется не вырождающееся уравнение или уравнение, вырождающееся на одной стороне четырехугольника.
Urinov, Akhmadzhon Kushakovich, Usmonov, Doniër Abdumutolib ugli   +1 more
openaire   +2 more sources

Nonlinear differential equation with Gerasimov-Caputo type fractional operator and degenerator

2022-yil 3-son (133/1) ANIQ FANLAR SERIYASI
In this article a nonlinear initial value problem for a Gerasimov-Caputo type fractional differential equation with degeneration is considered in the case of [0, 1]. The right-hand side of the equation consists product of two nonlinear functions.
M.D. Shukurova, G.A. Khasanov, T.K. Yuldashev   +2 more
openaire   +2 more sources