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Existence and controllability results for stochastic fractional evolution hemivariational inequalities

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  • Lu, Liang
  • Liu, Zhenhai

Abstract

In this paper, we study a class of stochastic evolution hemivariational inequalities with fractional derivative. The existence of mild solutions and controllability results are obtained by applying fractional calculation, stochastic analysis techniques, a fixed point theorem of multivalued maps and properties of generalized Clarke subdifferential. An example is included to show the applicability of our results.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:apmaco:v:268:y:2015:i:c:p:1164-1176
    DOI: 10.1016/j.amc.2015.07.023
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    References listed on IDEAS

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    1. Balasubramaniam, P. & Tamilalagan, P., 2015. "Approximate controllability of a class of fractional neutral stochastic integro-differential inclusions with infinite delay by using Mainardi’s function," Applied Mathematics and Computation, Elsevier, vol. 256(C), pages 232-246.
    2. 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.
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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. Daliang Zhao, 2023. "Approximate Controllability for a Class of Semi-Linear Fractional Integro-Differential Impulsive Evolution Equations of Order 1 < α < 2 with Delay," Mathematics, MDPI, vol. 11(19), pages 1-19, September.

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