In this article, we discuss the existence and uniqueness of the solution of the fractional-order epidemic model of childhood diseases by using fixed point theory. The technique of natural transform coupled with the Adomian decomposition is used to find the solution of the proposed model. At the end of the article, the model is demonstrated with appropriate numerical and graphical description.

中文翻译：

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儿童疾病的分数阶流行病模型研究

在本文中，我们使用定点理论讨论了儿童疾病分数阶流行病模型解的存在性和唯一性。使用自然变换技术与Adomian分解相结合来找到所提出模型的解。在文章的结尾，用适当的数字和图形描述对模型进行了演示。