@article{Xu2023, 
author = {Liping Xu and Zhi Li and Benchen Huang},
title = {h-stability for stochastic functional differential equation driven by time-changed Lévy process},
year = {2023},
journal = {AIMS Mathematics},
volume = {8},
number = {10},
pages = {22963-22983},
keywords = {h-stability, time-changed Lévy process, Lyapunov method, time-changed Itô formula},
url = {https://www.sciopen.com/article/10.3934/math.20231168},
doi = {10.3934/math.20231168},
abstract = {In this paper, we investigate a class of stochastic functional differential equations driven by the time-changed Lévy process. Using the Lyapunov technique, we obtain some sufficient conditions to ensure that the solutions of the considered equations are    h-stable in    p-th moment sense. Subsequently, using time-changed Itô formula and a proof by reduction ad absurdum, we capture some new criteria for the    h-stability in mean square of the considered equations. In the end, we analyze some illustrative examples to show the interest and usefulness of the major results.}
}