Abstract In this paper, we investigative the Hyers-Ulam stability and the Hyers-Ulam-Rassias stability of fuzzy fractional Volterra integral equations (FFVIEs) involving the kernel ψ−function. We propose conditions for the existence, uniqueness, and stability of FFVIE by employing the method of successive approximation. To visualize the theoretical results, some examples and numerical simulations are given.

中文翻译：

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具有核ψ−函数的模糊分数阶Volterra积分方程的Hyers-Ulam稳定性通过逐次逼近法

摘要 在本文中，我们研究了包含核ψ-函数的模糊分数阶Volterra积分方程（FFVIE）的Hyers-Ulam稳定性和Hyers-Ulam-Rassias稳定性。我们通过采用逐次逼近的方法为 FFVIE 的存在性、唯一性和稳定性提出了条件。为了可视化理论结果，给出了一些例子和数值模拟。