The aim of this paper is to use the combination of Reproducing kernel Hilbert space method (RKHSM) and fractional differential transform method (FDTM) to solve the linear and nonlinear fuzzy impulsive fractional differential equations. Finding the numerical solutions of this class of equations are a difficult topic to analyze. In this study, convergence analysis, estimations error and bounds errors are discussed in detail under some hypotheses which provide the theoretical basis of the proposed algorithm. Some numerical examples indicate that this method is an efficient one to solve the mentioned equations.

中文翻译：

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结合分数阶微分变换法和再现核希尔伯特空间法求解模糊脉冲分数阶微分方程

本文的目的是结合使用再生核希尔伯特空间方法（RKHSM）和分数微分变换方法（FDTM）来求解线性和非线性模糊脉冲分数阶微分方程。寻找这类方程的数值解是很难分析的话题。在这项研究中，在一些假设下详细讨论了收敛性分析，估计误差和边界误差，这些假设为所提出算法提供了理论基础。一些数值例子表明，该方法是解决上述方程的一种有效方法。