Approximate controllability of impulsive neutral fractional stochastic delay systems with hemivariational inequalities

Communications in Nonlinear Science and Numerical Simulation 2026 Open access

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Authors: Xiuhua Tian, Yingxin Guo
DOI: 10.1016/j.cnsns.2026.110233
Cited by: 1
References: 34

Abstract

The article investigates the approximate controllability of impulsive neutral Caputo fractional stochastic systems of order ϱ ∈ (0, 1), which incorporates hemivariational inequalities (HVIs), finite delay and history-dependent operator. By combining properties of Caputo fractional derivatives, stochastic analysis, Clarke’s subdifferential theory, and a fixed-point theorem for multivalued mappings, we formulate and confirm both the presence of mild solutions and the results concerning the system’s approximate controllability. In the end, we offer an example to connect theory with practice.

Fields of Study & Subjects

Nonlinear Differential Equations Analysis Neural Networks Stability and Synchronization Stability and Control of Uncertain Systems

Publication details

Journal / source
Communications in Nonlinear Science and Numerical Simulation
Publisher
Elsevier BV
Volume
162
Pages
110233–110233
Publication date
29 May 2026
Language
EN