时间分数电缆方程及其在神经生理学中的应用
Time Fractional Cable Equation And Applications in Neurophysiology
摘要：
通过引入Caputo时间分数阶导数，我们提出了一个扩展的电缆方程。通过拉氏变换，导出了最常见的边值问题的基本解，并将结果用已知的特殊函数表示。这种概括可能是有用的描述异常扩散现象与泄漏的信号传导在多刺树突。在Matlab中计算并绘制了所提出的解决方案。
英文摘要：
We propose an extension of the cable equation by introducing a Caputo time fractional derivative. The fundamental solutions of the most common boundary problems are derived analitically via Laplace Transform, and result be written in terms of known special functions. This generalization could be useful to describe anomalous diffusion phenomena with leakage as signal conduction in spiny dendrites. The presented solutions are computed in Matlab and plotted.
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