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On the Controllability of Impulsive Fractional Evolution Inclusions in Banach Spaces

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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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Authors and Affiliations

  1. College of Sciences, Guangxi University for Nationalities, Nanning, Guangxi, 530006, P.R. China

    Zhenhai Liu & Xiuwen Li

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  1. Zhenhai Liu
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  2. Xiuwen Li
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Correspondence to Zhenhai Liu.

Additional information

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

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