A note on existence and approximate controllability outcomes of Atangana–Baleanu neutral fractional stochastic hemivariational inequality

  • C. Dineshkumar
  • , R. Udhayakumar
  • , V. Vijayakumar
  • , Kottakkaran Sooppy Nisar
  • , Anurag Shukla
  • , Abdel Haleem Abdel-Aty
  • , Mona Mahmoud
  • , Emad E. Mahmoud

Research output: Contribution to journalArticlepeer-review

33 Scopus citations

Abstract

This article is primarily targeting the approximate controllability results of Atangana–Baleanu neutral fractional stochastic hemivariational inequality. The primary conclusions were validated using principles and ideas from stochastic analysis, fractional calculus, multivalued map theory, and fixed point techniques. We begin by emphasizing the existence of mild solutions, and then demonstrate the fractional control system's approximate controllability. Our findings are then applied to the notion of nonlocal circumstances. At last, an example is included to show the applicability of our results.

Original languageEnglish
Article number105647
JournalResults in Physics
Volume38
DOIs
StatePublished - Jul 2022

Keywords

  • Approximate controllability
  • Atangana–Baleanu derivative
  • Hemivariational inequality
  • Neutral equation
  • Nonlocal conditions
  • Stochastic system

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