Research article

On the approximate controllability for some impulsive fractional evolution hemivariational inequalities

  • Received: 01 April 2017 Accepted: 03 July 2017 Published: 09 August 2017
  • In this paper, we study the approximate controllability for some impulsive fractional evolution hemivariational inequalities. We show the concept of mild solutions for these problems. The approximate controllability results are formulated and proved by utilizing fractional calculus, fixed points theorem of multivalued maps and properties of generalized Clarke subgradient under some certain conditions.

    Citation: Yanfang Li, Yanmin Liu, Xianghu Liu, He Jun. On the approximate controllability for some impulsive fractional evolution hemivariational inequalities[J]. AIMS Mathematics, 2017, 2(3): 422-436. doi: 10.3934/Math.2017.3.422

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  • In this paper, we study the approximate controllability for some impulsive fractional evolution hemivariational inequalities. We show the concept of mild solutions for these problems. The approximate controllability results are formulated and proved by utilizing fractional calculus, fixed points theorem of multivalued maps and properties of generalized Clarke subgradient under some certain conditions.


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