On the Controllability of Impulsive Fractional Evolution Inclusions in Banach Spaces

Zhenhai Liu () and Xiuwen Li ()
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Zhenhai Liu: Guangxi University for Nationalities
Xiuwen Li: Guangxi University for Nationalities

Journal of Optimization Theory and Applications, 2013, vol. 156, issue 1, No 15, 167-182

Abstract: 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.

Keywords: Controllability; Multivalued maps; Impulsive fractional evolution inclusions; Mild solution; Fixed point theorem (search for similar items in EconPapers)
Date: 2013
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Citations: View citations in EconPapers (3)

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DOI: 10.1007/s10957-012-0236-x

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