2 papers
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…