On the Controllability of Impulsive Fractional Evolution Inclusions in Banach Spaces

On the Controllability of Impulsive Fractional Evolution Inclusions in Banach Spaces

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Article ID: iaor20131995
Volume: 156
Issue: 1
Start Page Number: 167
End Page Number: 182
Publication Date: Jan 2013
Journal: Journal of Optimization Theory and Applications
Authors: ,
Keywords: control
Abstract:

In this paper, we deal with the controllability of a class of impulsive fractional evolution inclusions in Banach spaces. We establish some sufficient conditions of controllability by use of the well‐known fixed point theorem for multivalued maps due to Dhage associated with an evolution system. At the end of the paper, a concrete application is given to illustrate our main results.

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