Exponential stability for nonautonomous stochastic integrodifferential equations driven by <i>Q</i> -Wiener process and <i>Q</i> -Rosenblatt process
This study explores a class of nonautonomous impulsive neutral stochastic integrodifferential equations driven by Q-Wiener process and Q-Rosenblatt process. We present novel and sufficient conditions for the existence, uniqueness, and exponential stability of mild solutions at the pth moment. We produce the required results by integrating the theories of stochastic analysis, impulsive inequality, Grimmer’s theory of the resolvent operator, and the fixed point theorem. A final example further demonstrates the obtained outcomes.
Authors
- Papa Ali Thiam
- Mamadou Abdoul Diop
- Sidi Ali Abdi
- Khadi Elbou
Institutions
- Université Gaston Berger (SN)
- Unité de Modélisation Mathématique et Informatique des Systèmes Complexes (FR)
- Université de Nouakchott (MR)
Publication Details
- Journal
- Stochastic Analysis and Applications
- Published
- 2026-07-17
- DOI
- https://doi.org/10.1080/07362994.2026.2695669
- Primary Topic
- Stability and Controllability of Differential Equations
- Type
- article
- Field-Weighted Citation Impact
- 0.00