Approximate controllability of fractional stochastic differential equations driven by Rosenblatt process with non-instantaneous impulses
Rajesh Dhayal and
Muslim Malik
Chaos, Solitons & Fractals, 2021, vol. 151, issue C
Abstract:
In this work, we consider a new class of fractional stochastic differential equations driven by the Rosenblatt process with non-instantaneous impulses. By employing the sectorial operator, fractional calculus, and Krasnoselskii’s fixed point theorem, we investigated the approximate controllability results for the proposed system. Furthermore, an illustrative example is presented to demonstrate the validity of the results.
Keywords: Fractional stochastic differential equations; Rosenblatt process; Non-instantaneous impulses; Approximate controllability (search for similar items in EconPapers)
Date: 2021
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (4)
Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0960077921006469
Full text for ScienceDirect subscribers only
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:eee:chsofr:v:151:y:2021:i:c:s0960077921006469
DOI: 10.1016/j.chaos.2021.111292
Access Statistics for this article
Chaos, Solitons & Fractals is currently edited by Stefano Boccaletti and Stelios Bekiros
More articles in Chaos, Solitons & Fractals from Elsevier
Bibliographic data for series maintained by Thayer, Thomas R. ().