Existence of Absolutely Continuous Fundamental Matrix of Linear Fractional System with Distributed Delays

Abstract

The goal of the present paper is to obtain sufficient conditions that guaranty the existence and uniqueness of an absolutely continuous fundamental matrix for a retarded linear fractional differential system with Caputo type derivatives and distributed delays. Some applications of the obtained result concerning the integral representation of the solutions are given too.

Keywords

• Caputo fractional derivative
• linear fractional system
• distributed delay