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

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 p^th 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.

Declaration of competing interest

The authors declare that they have no conflict of interest regarding the publication of this article.

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