Work

Pth moment stability and approximate controllability of NDEs with delayed impulses and time-varying delays driven by ƒBm

Year: 2025

Type: article

Abstract: Pth moment stability and approximate controllability of neutral differential equations (NDEs) with delayed impulse and time-varying delays driven by fractional Brownian motion (fBm) with H ? (0, 1/2) are studied. Unlike the fBm with Hurst parameter H ? (1/2, 1) in most of the literature, the fBm with Hurst parameter H ? (0, 1/2) in this work. The delayed impulse here means time delay in impulse, and the delay is no more than the minimum value of impulsive intervals. Based on Lyapunov stability theory and analytic semigroup theory, combined with stochastic analysis methods and impulse integral inequalities, some conditions guaranteeing the pth moment stability of the mild solution are established. Afterward, approximate controllability conditions of the system are acquired by the Lebesgue-dominated convergence theorem. At last, the validity of secured results is verified by an example.

Source: Filomat

DOI: 10.2298/fil2503755z

Authors: Xia Zhou, Li Liao, Jinde Cao

Institutions: Guilin University of Electronic Technology, Southeast University

Language: English

Topic: Nonlinear Differential Equations Analysis

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

Funders: National Natural Science Foundation of China, Natural Science Foundation of Guangxi Province

Awards: G4410417264, G8565183762