Controllability of a Class of Fractional Impulsive Di erential Inclusions with non-local conditions

Abstract

This paper intends to prove the controllability results for the class of impulsive fractional di erential inclusions. Under the non-local conditions, the controllability of the system is estab- lished by applying multivalued analysis, fractional calculus combined with the Krasnoselskii's multi-valued xed point theorem and the contraction mapping. However to reveal the contem- porary applicative feature of controllability authors have validated the results in the course of illustration.