most citedThe Source Regions of Whistlers

14 citations

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math.NA2021★ 4 cited

Some Aspects of the Numerical Analysis of a Fractional Duffing Oscillator with a Fractional Variable Order Derivative of the Riemann-Liouville Type

Valentine Kim, Roman Parovik

In this paper, we consider some aspects of the numerical analysis of the mathematical model of fractional Duffing with a derivative of variable fractional order of the Riemann-Liou…

math.NA2021

Research of the hereditary dynamic Riccati system with modification fractional differential operator of Gerasimov-Caputo

Dmitriy Tverdyi, Roman Parovik

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…

math.NA2021

Numerical Modeling of Kondratyev's Long Waves Taking into Account Heredity

Danil Makarov, Roman Parovik

The paper proposes a new mathematical model of economic cycles and crises, which generalizes the well-known model of Dubovsky S.V. The novelty of the proposed model lies in taking…

math.NA2021★ 4 cited

Application of the Adams-Bashfort-Mowlton Method to the Numerical Study of Linear Fractional Oscillators Models

Roman Parovik

The paper presents a numerical analysis of the class of mathematical models of linear fractional oscillators, which is the Cauchy problem for a differential equation with derivativ…