AccScience Publishing / IJOCTA / Volume 15 / Issue 1 / DOI: 10.36922/ijocta.1524
RESEARCH ARTICLE

Exponential stability for higher-order impulsive fractional neutral stochastic integro-delay differential equations with mixed brownian motions and non-local conditions

Dhanalakshmi Kasinathan1 Ramkumar Kasinathan2* Ravikumar Kasinathan2 Dimplekumar Chalishajar3
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1 Department of Mathematics, The Gandhigram Rural Institute (Deemed to be University), Gandhigram - 624302, Tamil Nadu, India
2 Department of Mathematics, PSG College of Arts and Science, Coimbatore, 641014, Tamil Nadu, India
3 Department of Applied Mathematics, Mallory Hall, Virginia Military Institute (VMI), Lexington, VA 24450, USA
IJOCTA 2025, 15(1), 101–120; https://doi.org/10.36922/ijocta.1524
Submitted: 7 January 2024 | Accepted: 28 May 2024 | Published: 24 January 2025
© 2025 by the Author(s). This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution -Noncommercial 4.0 International License (CC-by the license) ( https://creativecommons.org/licenses/by-nc/4.0/ )
Abstract

This paper investigates the exponential stability of second-order fractional neutral stochastic integral-delay differential equations (FNSIDDEs) with impulses driven by mixed fractional Brownian motions (fBm). Existence and uniqueness conditions ensure that FNSIDDEs are acquired by formulating a Banach fixed point theorem (BFPT). Novel sufficient conditions have to prove pth moment exponential stability of FNSIDDEs via fBm employing the impulsive-integral inequality. The current study expands and improves on previous findings. Additionally, an example is presented to illustrate the efficiency of the obtained theoretical results.

Keywords
Exponential stability
Fractional Brownian motion
Stochastic integro-delay differential equations
Impulsive-integral inequality
Fixed point theorem
Funding
None.
Conflict of interest
The authors declare that they have no conflict of interest regarding the publication of this article.
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An International Journal of Optimization and Control: Theories & Applications, Electronic ISSN: 2146-5703 Print ISSN: 2146-0957, Published by AccScience Publishing