Controllability of fractional order integro-differential inclusions with infinite delay

Abstract

This paper concerns for controllability of fractional order integro-differential inclusions with infinite delay in Banach spaces. A theorem about the existence of mild solutions to the controllability of fractional order integro-differential inclusions is obtained based on Dhage fixed point theorem. An example is given to illustrate the existence result.

Keywords

• controllability
• caputo fractional derivative
• integro-differential inclusions
• fixed point
• semigroup
• infinite delay