Results 1 to 10 of about 203 (139)

Degenerate Multi-Term Equations with Gerasimov–Caputo Derivatives in the Sectorial Case [PDF]

Mathematics, 2022
The unique solvability for the Cauchy problem in a class of degenerate multi-term linear equations with Gerasimov–Caputo derivatives in a Banach space is investigated.
Vladimir E. Fedorov, Kseniya V. Boyko
doaj   +9 more sources

Generalized boundary value problem for a linear ordinary differential equation with a discretely distributed fractional differentiation operator [PDF]

Қарағанды университетінің хабаршысы. Математика сериясы, 2022
This paper formulates and solves a generalized boundary value problem for a linear ordinary differential equation with a discretely distributed fractional differentiation operator.
L.Kh. Gadzova
doaj   +6 more sources

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   +2 more sources

Investigation of Finite-Difference Schemes for the Numerical Solution of a Fractional Nonlinear Equation [PDF]

Fractal and Fractional, 2021
The article discusses different schemes for the numerical solution of the fractional Riccati equation with variable coefficients and variable memory, where the fractional derivative is understood in the sense of Gerasimov-Caputo.
Dmitriy Tverdyi, Roman Parovik
doaj   +4 more sources

A Class of Quasilinear Equations with Distributed Gerasimov–Caputo Derivatives

Mathematics, 2023
Quasilinear equations in Banach spaces with distributed Gerasimov–Caputo fractional derivatives, which are defined by the Riemann–Stieltjes integrals, and with a linear closed operator A, are studied.
Vladimir E. Fedorov, Nikolay V. Filin
doaj   +2 more sources

Sturm-Liouville Problem with Mixed Boundary Conditions for a Differential Equation with a Fractional Derivative and Its Application in Viscoelasticity Models

Axioms, 2023
In this study, we obtained a system of eigenfunctions and eigenvalues for the mixed homogeneous Sturm-Liouville problem of a second-order differential equation containing a fractional derivative operator.
Ludmila Kiryanova, Tatiana Matseevich
doaj   +2 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   +2 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   +2 more sources

Application of the Riccati hereditary mathematical model to the study of the dynamics of radon accumulation in the storage chamber [PDF]

EPJ Web of Conferences, 2021
The article proposes a mathematical model of radon accumulation in a chamber, which takes into account the hereditary properties of the environment in which radon migrates.
Tverdyi Dmitryi, Parovik Roman, Makarov Evgeniy, Firstov Pavel, Alimova Nazira   +4 more
doaj   +1 more source

An Initial Problem for a Class of Weakly Degenerate Semilinear Equations with Lower Order Fractional Derivatives

Известия Иркутского государственного университета: Серия "Математика", 2021
An initial value problem is studied for a class of evolutionary equations with a weak degeneration, which are nonlinear with respect to lower order fractional Gerasimov – Caputo derivatives.
G.D. Baybulatova, M.V. Plekhanova
doaj   +1 more source