Results 1 to 10 of about 89 (84)

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   +3 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

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   +3 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

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   +1 more source

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

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   +1 more source

Some Aspects of Numerical Analysis for a Model Nonlinear Fractional Variable Order Equation

Mathematical and Computational Applications, 2021
The article proposes a nonlocal explicit finite-difference scheme for the numerical solution of a nonlinear, ordinary differential equation with a derivative of a fractional variable order of the Gerasimov–Caputo type.
Roman Parovik, Dmitriy Tverdyi
doaj   +1 more source

Hereditary Mathematical Model of the Dynamics of Radon Accumulation in the Accumulation Chamber

Mathematics, 2023
Mathematical modeling is used to study the hereditary mechanism of the accumulation of radioactive radon gas in a chamber with gas-discharge counters at several observation points in Kamchatka.
Dmitrii Tverdyi, Evgeny Makarov, Roman Parovik   +2 more
doaj   +1 more source

Application of the Fractional Riccati Equation for Mathematical Modeling of Dynamic Processes with Saturation and Memory Effect

Fractal and Fractional, 2022
In this study, the model Riccati equation with variable coefficients as functions, as well as a derivative of a fractional variable order (VO) of the Gerasimov-Caputo type, is used to approximate the data for some physical processes with saturation.
Dmitriy Tverdyi, Roman Parovik
doaj   +1 more source

Parallelization of a Numerical Algorithm for Solving the Cauchy Problem for a Nonlinear Differential Equation of Fractional Variable Order Using OpenMP Technology

Vestnik KRAUNC: Fiziko-Matematičeskie Nauki, 2023
The article presents a software implementation of a parallel efficient and fast computational algorithm for solving the Cauchy problem for a nonlinear differential equation of a fractional variable order.
Tverdyi, D.A., Parovik, R.I., Hayotov, A.R., Boltaev, A.K.   +3 more
doaj   +1 more source