On a Periodic Solution for an Impulsive System of Differential Equations with Gerasimov–Caputo Fractional Operator and Maxima

Existence and uniqueness of (ω, c)−periodic solution of boundary value problem for a system of ordinary differential equations with Gerasimov–Caputo operator, impulsive effects and maxima are investigated. This problem is reduced to the investigation of solvability of the system of nonlinear functional integral equations. The method of contracted mapping is used in the proof of one-valued solvability of nonlinear functional integral equations. Obtained some estimates for the (ω, c)−periodic solution of the studying problem