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Approximate controllability of multivalued stochastic fractional differential equations with Atangana-Baleanu-Caputo derivatives
  • Pallavi Bedi,
  • Anoop Kumar,
  • Aziz Khan
Pallavi Bedi
Central University of Punjab
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Anoop Kumar
Central University of Punjab School of Basic and Applied Sciences
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Aziz Khan
University of Peshawar
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Abstract

This article aims to discuss the approximate controllability of multivalued impulsive stochastic fractional differential equations with ABC derivatives in Hilbert space. Firstly, with the help of stochastic analysis, theory of resolvent operators and the fixed point technique, we confirm the existence of mild solutions for the proposed control system. Secondarily, we show that the proposed system of equations is approximately controllable under a certain hypothesis. To confirm the applicability of the obtained results, an example is provided at the end of this paper.

Peer review status:UNDER REVIEW

08 Apr 2021Submitted to Mathematical Methods in the Applied Sciences
09 Apr 2021Assigned to Editor
09 Apr 2021Submission Checks Completed
26 Apr 2021Reviewer(s) Assigned