In the modeling of dynamical problems the fractional order integro-differential equations (IDEs) are very common in science and engineering. The scientists are developing different aspects of these models. The existence of solutions, stability analysis and numerical simulations are the most commonly studied aspects. There is no paper in literature describing the Hyers–Ulam stability (HU-stability) for fuzzy-fractional order models. Therefore, keeping the importance of the study, we consider the existence, uniqueness and HU-stability of a fractional order fuzzy-Volterra IDE.

中文翻译：

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ABC-Fuzzy-VOLTERRA积分-微分方程的存在结果及稳定性判据

在动力学问题的建模中，分数阶积分微分方程 (IDE) 在科学和工程中非常常见。科学家们正在开发这些模型的不同方面。解的存在性、稳定性分析和数值模拟是最常研究的方面。文献中没有描述模糊分数阶模型的 Hyers-Ulam 稳定性（HU 稳定性）的论文。因此，保持研究的重要性，我们考虑分数阶模糊-Volterra IDE 的存在性、唯一性和 HU 稳定性。