In this paper, a new fractal nerve impulses modeling is successfully described via the Yang’s local fractional derivative in a microgravity space, and its approximate analytical solution is obtained by a new Adomian decomposition method. The efficiency and accuracy analysis of the proposed method is elucidated according to the graphs. The result shows that our method is excellent and accurate in dealing with Local fractional differential equations.

中文翻译：

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基于局部分数阶导数的神经冲动新分形建模

本文通过微重力空间中的杨局部分数阶导数成功描述了一种新的分形神经冲动模型，并通过新的Adomian分解方法获得了其近似解析解。根据图表阐明了所提出方法的效率和准确性分析。结果表明，我们的方法在处理局部分数阶微分方程方面是优异且准确的。