General Letters in Mathematics

Volume 14 - Issue 4 (1) | PP: 83 - 93 Language : English
DOI : https://doi.org/10.31559/glm2024.14.4.1
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Approximate controllability of general impulsive stochastic systems with effects in infinite dimension

Abbes BENCHAABANE ,
Hamid Boulares
Received Date Revised Date Accepted Date Publication Date
14/10/2024 9/12/2024 5/1/2025 4/2/2025
Abstract
In this research, we investigated the feasibility of approximate control for nonlinear impulsive stochastic differential systems defined over infinite-dimensional domains. Our approach is based on the assumption that the associated linear systems are controllable. To this end, we established sufficient conditions to ensure the existence and uniqueness of approximate control solutions for each type of control considered. The theoretical framework is grounded in the application of Banach Fixed Point Theory (BFPT), which serves as a fundamental tool for deriving our results. Furthermore, illustrative examples are provided, incorporating digital media simulations to demonstrate the practical applicability and effectiveness of the proposed method.


How To Cite This Article
BENCHAABANE , A. & Boulares , H. (2025). Approximate controllability of general impulsive stochastic systems with effects in infinite dimension. General Letters in Mathematics, 14 (4), 83-93, 10.31559/glm2024.14.4.1

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