This paper addresses the issue of the existence and uniqueness of intuitionistic fuzzy solutions for some classes of partial functional differential equations with state-dependent delay in a new weighted complete metric space. Theorems on the existence and uniqueness of intuitionistic fuzzy solutions for these problems with integral boundary conditions are established under some sufficient assumptions. Some numerical examples of applications of the main result of this work are presented.

中文翻译：

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具有积分边界条件的状态相关时滞直觉模糊偏泛函微分方程

本文解决了在新的加权完全度量空间中某些具有状态相关延迟的偏泛函微分方程的直觉模糊解的存在性和唯一性问题。这些具有积分边界条件的问题的直觉模糊解的存在性和唯一性定理是在一些充分假设下建立的。介绍了这项工作的主要结果的一些应用数值示例。