Abstract In the present work, a novel variable-order awareness programs mathematical model with multiple time delay is presented. Two types of variable-order fractional derivatives of Atangana-Baleanu-Caputo definitions are given. The properties of the proposed model such as the basic reproduction number and the stability of the equilibrium points are studied analytically and numerically. Two numerical methods are introduced to study the proposed models. These methods are the predictor-corrector method and the fifth order Adams-Moulton method. In order to validate the theoretical results, numerical simulations and comparative studies are given.

中文翻译：

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一种新型变阶多时滞意识程序数学模型的数值研究

摘要 在目前的工作中，提出了一种新的多时延变阶感知程序数学模型。给出了两种类型的 Atangana-Baleanu-Caputo 定义的变阶分数阶导数。分析和数值研究了所提出模型的特性，例如基本再生数和平衡点的稳定性。引入了两种数值方法来研究所提出的模型。这些方法是预测器-校正器方法和五阶 Adams-Moulton 方法。为了验证理论结果，给出了数值模拟和对比研究。