In an emergency, fear can spread among crowds through one-on-one encounters, with negative societal consequences. The purpose of this research is to create a novel theoretical model of fear (panic) spread in the context of epidemiology during an emergency using the fractal fractional operator. For quantitative analysis, the system’s boundedness and positivity are checked. According to the Arzela Ascoli theorem, the model is completely continuous. As a result of the discovery of Schauder’s fixed point, it has at least one solution. The existence and uniqueness of the concerned solution have been examined using the fixed point theory technique. Numerical simulations are used to demonstrate the accuracy of the proposed techniques using a generalized form of Mittag-Leffler kernel with a fractal fractional operator. Finally, simulations are utilized to represent the spread of group emotional contagion (spontaneous spread of emotions and related behaviors) dynamically.

在紧急情况下，恐惧可能会通过一对一的接触在人群中传播，从而造成负面的社会后果。本研究的目的是使用分形分数算子在流行病学背景下创建一种新颖的恐惧（恐慌）传播理论模型。对于定量分析，检查系统的有界性和正性。根据 Arzela Ascoli 定理，该模型是完全连续的。由于绍德不动点的发现，它至少有一个解。使用不动点理论技术检验了相关解的存在性和唯一性。数值模拟用于证明所提出技术的准确性，该技术使用具有分形分数算子的 Mittag-Leffler 核的广义形式。最后，利用模拟来动态地表示群体情绪传染的传播（情绪和相关行为的自发传播）。