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 Fedorov, Kseniya Boyko
exaly +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, Bakhtiyor Kadirkulov
exaly +4 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.
Elina Shishkina, Sitnik Sm
exaly +7 more sources
Bulletin of Irkutsk State University, Series Mathematics, 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
exaly +4 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
A Computational Approach for the Calculation of Temperature Distribution in Casting-Mould Heterogeneous System with Fractional Order. [PDF]
Comput Math Methods Med, 2022 The purpose of this paper is to investigate the approximate solution of the casting‐mould heterogeneous system with Caputo derivative under the homotopy idea. The symmetry design of the system contains the integer partial differential equations and the fractional‐order partial differential equations. We apply Yang transform homotopy perturbation method
Luo X, Nadeem M, Asjad MI, Abdo MS.
europepmc +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
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
Roman Parovik
exaly +3 more sources
Integrated Resolving Functions for Equations with Gerasimov–Caputo Derivatives
Symmetry, 2023 The concept of a β-integrated resolving function for a linear equation with a Gerasimov–Caputo fractional derivative is introduced into consideration. A number of properties of such functions are proved, and conditions for the solvability of the Cauchy problem to linear homogeneous and inhomogeneous equations are found in the case of the existence of a
Vladimir Fedorov +2 more
exaly +2 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