Results 41 to 50 of about 210 (124)
Models of Delay Differential Equations [PDF]
, 2022 This book gathers a number of selected contributions aimed at providing a balanced picture of the main research lines in the realm of delay differential equations and their applications to mathematical modelling.
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A Modified Fractional Derivative and its Application to Fractional Vibration Equation [PDF]
, 2016 In this paper, a new modified definition of the fractional derivative is presented. The Laplace transform of the modified fractional derivative involves the initial values of the integer-order derivatives, but does not involve the initial values of the ...
Duan, Jun-Sheng
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Mathematics, 2023 The numerical solution for fractional dynamics problems can create a high computational load, which makes it necessary to implement efficient algorithms for their solution.
Dmitrii Tverdyi, Roman Parovik
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Mathematical Modeling of Linear Fractional Oscillators
Mathematics, 2020 In this work, based on Newton’s second law, taking into account heredity, an equation is derived for a linear hereditary oscillator (LHO). Then, by choosing a power-law memory function, the transition to a model equation with Gerasimov–Caputo fractional ...
Roman Parovik
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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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Третья краевая задача для нагруженного уравнения теплопроводности с дробной производной Капуто [PDF]
, 2020 Recently, to describe various mathematical models of physical processes, fractional differential calculus has been widely used. In this regard, much attention is paid to partial differential equations of fractional order, which are a generalization of ...
M. Kh. Beshtokov +3 more
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Two classes of nonlocal Evolution Equations related by a shared Traveling Wave Problem
, 2017 We consider reaction-diffusion equations and Korteweg-de Vries-Burgers (KdVB) equations, i.e. scalar conservation laws with diffusive-dispersive regularization.
A Chmaj +34 more
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Операторы преобразования для собственных функций некоторых операторов дифференцирования и их дробных степеней [PDF]
, 2022 В работе рассматриваются дифференциальные операторы целого и дробного порядка, а также их собственные функции. Получены операторы преобразования, которые связывают собственные функции рассматриваемых дифференциальных ...
Дзарахохов, А. В.
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GENERALIZED EQUATIONS OF MATHIEU [PDF]
Vestnik KRAUNC: Fiziko-Matematičeskie Nauki, 2011 We consider a nonlocal model of the wave process, which generalizes the classical model parmetricheskogo resonance Mathieu. It is proved that this model has a unique solution.
R.I. Parovik
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Решение уравнения Эйлера-Пуассона-Дарбу дробного порядка [PDF]
, 2022 В работе рассматривается задача Коши для одномерного, однородного уравнения Эйлера-Пуассона-Дарбу с дифференциальным оператором дробного порядка по времени, который представляет собой левосторонний бесселев оператор дробного ...
Дзарахохов, А. В. +1 more
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