Stability and control of neutral fractional systems with state-dependent time delays

K. Kaliraj, S. John Lourdhu Antony, Kottakkaran Sooppy Nisar and C. Ravichandran

Chaos, Solitons & Fractals, 2026, vol. 209, issue P1

Abstract: This study establishes sufficient conditions for finite-time stability in neutral fractional differential systems with state-dependent delays by employing integral inequalities and the two-parameter Mittag–Leffler function. Ulam–Hyers stability is investigated through Lipschitz-type conditions imposed on the nonlinear components, along with the boundedness of the associated fractional kernel operator. In addition, controllability analysis is carried out for both linear and nonlinear systems’ fixed-point techniques. An illustrative example is presented to validate the theoretical results and to demonstrate the effectiveness and applicability of the proposed approach.

Keywords: Neutral fractional differential systems; Finite-time stability; Ulam-Hyers stability; Controllability; Fixed point theorem (search for similar items in EconPapers)
Date: 2026
References: Add references at CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0960077926005217
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:209:y:2026:i:p1:s0960077926005217

DOI: 10.1016/j.chaos.2026.118380

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. ().