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Acta Mathematica Scientia

, Volume 39, Issue 2, pp 461–468 | Cite as

Mixed Variational Inequalities Driven by Fractional Evolutionary Equations

  • Stanisław Migórski
  • Shengda ZengEmail author
Article
  • 3 Downloads

Abstract

The goal of the present paper is to investigate an abstract system, called fractional differential variational inequality, which consists of a mixed variational inequality combined with a fractional evolution equation in the framework of Banach spaces. Using discrete approximation approach, an existence theorem of solutions for the inequality is established under some suitable assumptions.

Key words

fractional differential variational inequality C0-semigroup Minty mixed variational inequality existence mild solutions 

2010 MR Subject Classification

26A33 34A08 35J88 47J20 49J40 

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Notes

Acknowledgements

This article is dedicated to one of Shengda Zeng’s best friend Ms. Yaping Qiu to the occasion of her honey wedding day (January 26, 2018).

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Copyright information

© Wuhan Institute Physics and Mathematics, Chinese Academy of Sciences 2019

Authors and Affiliations

  1. 1.College of SciencesBeibu Gulf UniversityQinzhouChina
  2. 2.Chair of Optimization and ControlJagiellonian University in KrakowKrakowPoland
  3. 3.Faculty of Mathematics and Computer ScienceJagiellonian University in KrakowKrakowPoland

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