In this paper, we consider \(C^{*}\)-algebra valued fuzzy normed spaces. We study the random integral equation \((\frac{1}{2c})\int _{x-cd}^{x+cd}u(\gamma ,\tau ,d_{0})\,d\tau =u( \gamma ,x,d)\) which is related to the stochastic wave equation. In addition, using a \(C^{*}\)-algebra valued fuzzy controller function, we consider its \(C^{*}\)-algebra valued fuzzy Hyers–Ulam stability.

中文翻译：

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C ∗ $ C ^ {*} $-代数值模糊赋范空间，应用Hyers-Ulam稳定性的一个随机积分方程

在本文中，我们考虑\（C ^ {*} \）-代数值模糊赋范空间。我们研究随机积分方程\（（\ frac {1} {2c}）\ int _ {x-cd} ^ {x + cd} u（\ gamma，\ tau，d_ {0}）\，d \ tau = u（\ gamma，x，d）\）与随机波动方程有关。另外，使用\（C ^ {*} \）-代数模糊控制器函数，我们考虑其\（C ^ {*} \）-代数模糊Hyers-Ulam稳定性。