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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Communicated by Yong Zhou.
Project supported by NNSF of China Grant Nos. 11271087, 61263006 and Guangxi Scientific Experimental (China-ASEAN Research) Centre No. 20120116.
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Liu, Z., Li, X. On the Controllability of Impulsive Fractional Evolution Inclusions in Banach Spaces. J Optim Theory Appl 156, 167–182 (2013). https://doi.org/10.1007/s10957-012-0236-x
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DOI: https://doi.org/10.1007/s10957-012-0236-x