Stability analysis of Atangana–Baleanu fractional stochastic differential systems with impulses

Rajesh Dhayal, J. F. Gómez-Aguilar and J. Torres-Jiménez

International Journal of Systems Science, 2022, vol. 53, issue 16, 3481-3495

Abstract: This paper is devoted to exploring a new class of Atangana–Baleanu fractional stochastic differential systems driven by fractional Brownian motion with non-instantaneous impulsive effects. Using resolvent family, fixed point technique, and fractional calculus, we analysed the existence and uniqueness of the mild solution. Moreover, we discussed the stability criteria for the proposed problem. A numerical example is given to illustrate the theoretical results.

Date: 2022
References: Add references at CitEc
Citations:

Downloads: (external link)
http://hdl.handle.net/10.1080/00207721.2022.2090638 (text/html)
Access to full text is restricted to subscribers.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:taf:tsysxx:v:53:y:2022:i:16:p:3481-3495

Ordering information: This journal article can be ordered from
http://www.tandfonline.com/pricing/journal/TSYS20

DOI: 10.1080/00207721.2022.2090638

Access Statistics for this article

International Journal of Systems Science is currently edited by Visakan Kadirkamanathan

More articles in International Journal of Systems Science from Taylor & Francis Journals
Bibliographic data for series maintained by Chris Longhurst ().