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On the Controllability of Impulsive Fractional Evolution Inclusions in Banach Spaces

Author

Listed:
  • Zhenhai Liu

    (Guangxi University for Nationalities)

  • Xiuwen Li

    (Guangxi University for Nationalities)

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.

Suggested Citation

  • Zhenhai Liu & Xiuwen Li, 2013. "On the Controllability of Impulsive Fractional Evolution Inclusions in Banach Spaces," Journal of Optimization Theory and Applications, Springer, vol. 156(1), pages 167-182, January.
    • Handle: RePEc:spr:joptap:v:156:y:2013:i:1:d:10.1007_s10957-012-0236-x
    DOI: 10.1007/s10957-012-0236-x
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    Cited by:

    1. Yan, Zuomao & Lu, Fangxia, 2017. "Approximate controllability of a multi-valued fractional impulsive stochastic partial integro-differential equation with infinite delay," Applied Mathematics and Computation, Elsevier, vol. 292(C), pages 425-447.
    2. shu, Xiao-Bao & Shi, Yajing, 2016. "A study on the mild solution of impulsive fractional evolution equations," Applied Mathematics and Computation, Elsevier, vol. 273(C), pages 465-476.
    3. Alka Chadha & Dwijendra N. Pandey, 2018. "Approximate Controllability of a Neutral Stochastic Fractional Integro-Differential Inclusion with Nonlocal Conditions," Journal of Theoretical Probability, Springer, vol. 31(2), pages 705-740, June.

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