Results 1 to 10 of about 13,021 (91)
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
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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 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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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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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.
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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 +1 more
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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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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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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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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
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