On history of mathematical economics: Application of fractional calculus

VE Tarasov - Mathematics, 2019 - mdpi.com
Modern economics was born in the Marginal revolution and the Keynesian revolution. These
revolutions led to the emergence of fundamental concepts and methods in economic theory …

Mathematical economics: application of fractional calculus

VE Tarasov - Mathematics, 2020 - mdpi.com
Mathematical economics is a theoretical and applied science in which economic objects,
processes, and phenomena are described by using mathematically formalized language. In …

Group pursuit problem in a differential game with fractional derivatives, state constraints, and simple matrix

NN Petrov - Differential Equations, 2019 - Springer
In a finite-dimensional Euclidean space, we consider the pursuit problem with one evader
and a group of pursuers described by a system of the form D (α) zi= az i+ ui-v, where D (α) f …

Differential games in fractional-order systems: inequalities for directional derivatives of the value functional

MI Gomoyunov, NY Lukoyanov - Proceedings of the Steklov Institute of …, 2021 - Springer
For a dynamical system described by differential equations with Caputo fractional
derivatives of order, we consider a minimax–maximin differential game with a performance …

Multiple capture in a group pursuit problem with fractional derivatives and phase restrictions

NN Petrov - Mathematics, 2021 - mdpi.com
The problem of conflict interaction between a group of pursuers and an evader in a finite-
dimensional Euclidean space is considered. All participants have equal opportunities. The …

One problem of group pursuit with fractional derivatives and phase constraints

NN Petrov - Vestnik Udmurtskogo Universiteta. Matematika …, 2017 - mathnet.ru
NN Petrov, “One problem of group pursuit with fractional derivatives and phase constraints”,
Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 27:1 (2017), 54–59 Vestnik Udmurtskogo …

Modeling of strength characteristics of polymer concrete via the wave equation with a fractional derivative

L Kirianova - Mathematics, 2020 - mdpi.com
The article presents a solution to a boundary value problem for a wave equation containing
a fractional derivative with respect to a spatial variable. This model is used to describe …

Parametric Identification of the Fractional-Derivative Order in the Bagley–Torvik Model

TS Aleroev, SV Erokhin - Mathematical Models and Computer Simulations, 2019 - Springer
We consider a second-order differential equation that contains a fractional derivative (the
Bagley–Torvik equation); here, the order of the derivative is in the range from 1 to 2 and is …

Linear group pursuit problem with fractional derivatives, simple matrices, and different possibilities of players

NN Petrov, AI Machtakova - Differential Equations, 2023 - Springer
In a finite-dimensional Euclidean space, we consider the problem of pursuit by a group of
pursuers of one evader, which is described by a system of equations with a Caputo …

Evasion from pursuers in the problem of group pursuit with fractional derivatives and phase constraints

AS Bannikov - … " Stability and Oscillations of Nonlinear Control …, 2018 - ieeexplore.ieee.org
In this paper we consider the evasion problem from the group of pursuers in the finite-
dimensional Euclidean space. The motion is describe by the linear system of fractional order …