Approximate controllability for a class of stochastic impulsive evolution system with infinite delay involving the fractional substantial derivative

Weihao Chen, Yansheng Liu and Daliang Zhao

Chaos, Solitons & Fractals, 2024, vol. 182, issue C

Abstract: This paper is concerned with a class of stochastic impulsive evolution system with the fractional substantial derivative of the order α∈(1,2). We introduce the fractional substantial derivative in the study of stochastic impulsive evolution system with infinite delay for the first time. Then the existence of mild solution for such system is investigated. In addition, the controllability results are obtained via the measure of noncompactness, Mo.nch fixed point theorem and stochastic analysis theory. Finally, examples are worked out to illustrate the main results.

Keywords: Fractional substantial derivative; Stochastic impulsive evolution system; Infinite delay; Approximate controllability (search for similar items in EconPapers)
Date: 2024
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0960077924004296
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:182:y:2024:i:c:s0960077924004296

DOI: 10.1016/j.chaos.2024.114877

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. ().