APPROXIMATE CONTROLLABILITY OF NEUTRAL INTEGRODIFFERENTIAL INCLUSIONS VIA RESOLVENT OPERATORS

Abstract

In this work, a set of su¢ cient conditions are established for theapproximate controllability for neutral integrodi§erential inclusions in Banachspaces. The theory of fractional power and -norm is used because of thespatial derivatives in the nonlinear term of the system. Bohnenblust-KarlinísÖxed point theorem is used to prove our main results. Further, this resultis extended to study the approximate controllability for nonlinear functionalcontrol system with nonlocal conditions. An example is also given to illustrateour main results.