Results 11 to 20 of about 54 (52)
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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On Strongly Continuous Resolving Families of Operators for Fractional Distributed Order Equations
Fractal and Fractional, 2021 The aim of this work is to find by the methods of the Laplace transform the conditions for the existence of a strongly continuous resolving family of operators for a linear homogeneous equation in a Banach space with the distributed Gerasimov–Caputo ...
Vladimir E. Fedorov, Nikolay V. Filin
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Quasilinear Fractional Order Equations and Fractional Powers of Sectorial Operators
Fractal and Fractional, 2023 The fractional powers of generators for analytic operator semigroups are used for the proof of the existence and uniqueness of a solution of the Cauchy problem to a first order semilinear equation in a Banach space. Here, we use an analogous construction
Vladimir E. Fedorov +2 more
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Degenerate Multi-Term Equations with Gerasimov–Caputo Derivatives in the Sectorial Case
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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Mathematics, 2020 We consider the principle of least action in the context of fractional calculus. Namely, we derive the fractional Euler–Lagrange equation and the general equation of motion with the composition of the left and right fractional derivatives defined on ...
Liana Eneeva +2 more
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Нелокальная краевая задача для уравнения с производными дробного порядка с различными началами
Vestnik KRAUNC: Fiziko-Matematičeskie Nauki, 2023 Рассматривается линейное обыкновенное дифференциальное уравнение дробного порядка с композицией лево- и правосторонних операторов дробных производных в главной части.
Энеева, Л.М.
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Recent applications of fractional calculus to science and engineering
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 54, Page 3413-3442, 2003., 2003 This paper deals with recent applications of fractional calculus to dynamical systems in control theory, electrical circuits with fractance, generalized voltage divider, viscoelasticity, fractional‐order multipoles in electromagnetism, electrochemistry, tracer in fluid flows, and model of neurons in biology.
Lokenath Debnath
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A Class of Fractional Degenerate Evolution Equations with Delay
Mathematics, 2020 We establish a class of degenerate fractional differential equations involving delay arguments in Banach spaces. The system endowed by a given background and the generalized Showalter–Sidorov conditions which are natural for degenerate type equations. We
Amar Debbouche, Vladimir E. Fedorov
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Vestnik KRAUNC: Fiziko-Matematičeskie Nauki, 2022 В этой статье была использована дробно-дифференциальная модель физических процессов с насыщением для описания динамики летальных исходов инфекции COVID-19.
Твёрдый, Д.А. +1 more
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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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