Average Approximate Controllability of a Nonlinear Fractional Integrodifferential System

Abstract

In this paper, we study the average approximate controllability of a nonlinear fractional integrod- ifferential system. We derive adequate conditions for establishing the average approximate controllability of our system. These results are obtained through the use of the resolvent operator techniques, employing the Schauder fixed point theorem. An example is provided to illustrate the application of the obtained theory.