In this paper, systems of fuzzy fractional differential equations with a lateral type of the Hukuhara derivative and the generalized Hukuhara derivative are numerically studied. Collocation method on discontinuous piecewise polynomial spaces is proposed. Convergence of the proposed method is analyzed. The superconvergent results on the graded mesh are studied. Examples are provided to support theoretical results. Finally, the effect of uncertainty in a diabetes model and its resulting complications is investigated as a practical application.

中文翻译：

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具有短存储和可变阶数的新分数信号平滑方程

本文对侧向类型的Hukuhara导数和广义Hukuhara导数的模糊分数阶微分方程组进行了数值研究。提出了不连续分段多项式空间上的配置方法。分析了该方法的收敛性。研究了渐变网格上的超收敛结果。提供示例以支持理论结果。最后，不确定性在糖尿病模型中的作用及其导致的并发症被作为实际应用进行了研究。