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

Institutions

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
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
article

Exponential stability for nonautonomous stochastic integrodifferential equations driven by Q -Wiener process and Q -Rosenblatt process

Papa Ali Thiam, Mamadou Abdoul Diop, Sidi Ali Abdi, Khadi Elbou
Stochastic Analysis and Applications
Stability and Controllability of Differential Equations
article

Exponential stability for nonautonomous stochastic integrodifferential equations driven by Q -Wiener process and Q -Rosenblatt process

Papa Ali Thiam, Mamadou Abdoul Diop, Sidi Ali Abdi, Khadi Elbou
article en

Abstract

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.

Stochastic Analysis and Applications
Université Gaston Berger (SN), Unité de Modélisation Mathématique et Informatique des Systèmes Complexes (FR), Université de Nouakchott (MR)
Openalex Percentile: Top 10%
Stability and Controllability of Differential Equations
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.