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Existence and controllability for fractional evolution inclusions of Clarke’s subdifferential type

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  • Liu, Zhenhai
  • Zeng, Biao

Abstract

In this paper, by using the method of the measure of noncompactness, the fixed points theorem of multivalued maps and the properties of Clarke’s subdifferential, we give the existence result and controllability for the fractional evolution inclusions of Clarke’s subdifferential type in a separable reflexive Banach space.

Suggested Citation

  • Liu, Zhenhai & Zeng, Biao, 2015. "Existence and controllability for fractional evolution inclusions of Clarke’s subdifferential type," Applied Mathematics and Computation, Elsevier, vol. 257(C), pages 178-189.
    • Handle: RePEc:eee:apmaco:v:257:y:2015:i:c:p:178-189
    DOI: 10.1016/j.amc.2014.12.057
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    Cited by:

    1. Cao, Yueju & Sun, Jitao, 2017. "Controllability of measure driven evolution systems with nonlocal conditions," Applied Mathematics and Computation, Elsevier, vol. 299(C), pages 119-126.
    2. Lu, Liang & Liu, Zhenhai & Bin, Maojun, 2016. "Approximate controllability for stochastic evolution inclusions of Clarke’s subdifferential type," Applied Mathematics and Computation, Elsevier, vol. 286(C), pages 201-212.
    3. Boudjerida, Assia & Seba, Djamila, 2021. "Approximate controllability of hybrid Hilfer fractional differential inclusions with non-instantaneous impulses," Chaos, Solitons & Fractals, Elsevier, vol. 150(C).
    4. Lu, Liang & Liu, Zhenhai, 2015. "Existence and controllability results for stochastic fractional evolution hemivariational inequalities," Applied Mathematics and Computation, Elsevier, vol. 268(C), pages 1164-1176.

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