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
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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
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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
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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.
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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
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An analogue of the Lyapunov inequality for an ordinary second-order differential equation with a fractional derivative and a variable coefficient [PDF]
Қарағанды университетінің хабаршысы. Математика сериясы, 2022 This paper studies an ordinary second-order differential equation with a fractional differentiation operator in the sense of Riemann-Liouville with a variable coefficient.
B.I. Efendiev
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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
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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 +4 more
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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
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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
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