Imzegouan, ChafaiZouine, AzizBouzahir, HassaneTunc, Cemil2025-05-102025-05-1020232345-39822383-253310.22034/cmde.2022.49283.20562-s2.0-85149727896https://doi.org/10.22034/cmde.2022.49283.2056https://hdl.handle.net/20.500.14720/10119Bouzahir, Hassane/0000-0002-1254-967XThis paper focuses on existence, uniqueness, and stability analysis of solutions for a new kind of delayed integrodifferential neural networks with Markovian switches in delays and noises. The studied system combines many types of integro-differential neural network treatises in the literature. After having presented the studied system, the existence and uniqueness of solutions are shown under Lipschitz condition. By using the Lyapunov-Krasovskii functional, some stochastic analysis techniques and the M-matrix approach, stochastic stability, and general decay stability are established. Finally, a numerical example is given to validate the main established theoretical results.eninfo:eu-repo/semantics/closedAccessNeural NetworksMarkovian Jumps SystemsLevy NoiseGaussian NoiseNeutral-Type SystemsTime-Varying DelaysGeneral Decay StabilityArticle111N/AQ26580WOS:001012633700006