Periodic Solutions for an Impulsive System of Fractional Order Integro-Differential Equations with Maxima

A $$(\omega,c)$$ -periodic boundary value problem for a fractional order system of ordinary integro-differential equations with impulsive effects and maxima is investigated. The existence and uniqueness of the solution of the $$(\omega,c)$$ -periodic boundary value problem are 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 $$(\omega,c)$$ -periodic solution of the studying problem.

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