ON THE PROBLEM OF PURSUING A GROUP OF COORDINATED EVADERS IN A GAME WITH FRACTIONAL DERIVATIVES

In a finite-dimensional Euclidean space, the problem of pursuing of a group of evaders by a group of pursuers is considered, described by a linear non-stationary system of differential equations with fractional Caputo derivatives. Sets of admissible players’ controls — compacts, terminal sets — origin of coordinates. Sufficient conditions have been obtained for the capture of at least one evader and all evaders under the condition that the evaders use the same control. In the study, the method of matrix and scalar resolving functions is used as a basic one. It is shown that differential games described by equations with fractional derivatives have properties that are different from those of differential games described by ordinary differential equations.