@article{Madani2025, 
author = {Yasir A. Madani and Tayeb Blouhi and Fatima Zohra Ladrani and Mohamed Bouye and Khaled Zennir and Keltoum Bouhali and Amin Benaissa Cherif},
title = {Hyers-Ulam stability of coupled systems for stochastic differential equations with random impulses driven by Poisson jumps},
year = {2025},
journal = {AIMS Mathematics},
volume = {10},
number = {11},
pages = {25358-25379},
keywords = {stochastic analysis, impulsive differential equations, matrix convergent to zero, iterative methods, Hyers-Ulam stability, Wiener process, Poisson process},
url = {https://www.sciopen.com/article/10.3934/math.20251123},
doi = {10.3934/math.20251123},
abstract = {The problem of existence, uniqueness, and stability in the Hyers-Ulam sense of solutions for random impulsive stochastic functional differential equations driven by Poisson jumps with finite delays is considered. Based on techniques combining the generalized Banach fixed-point theorem and the expansion of the Perov-type fixed-point theorem, two significant quantitative and qualitative results are analyzed, and then an example is presented to illustrate our results.}
}