In this work, we have suggested a neat method of obtaining the fractional diffusion equation for an anomalous anisotropic diffusion process using fractal brush structure as a background medium. For the sake of completeness, we intend to present an analytical solution in the case of the Dirichlet boundary condition. Finally, some notes and remarks are represented to show the vital role of a physical or biological system that exhibits a multiple trapping process.

中文翻译：

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圆柱刷模型中的分数各向异性扩散方程

在这项工作中，我们提出了一种整洁的方法，该方法使用分形画笔结构作为背景介质来获得异常各向异性扩散过程的分数扩散方程。为了完整起见，我们打算在Dirichlet边界条件的情况下给出解析解。最后，一些注释和备注表示了显示多重诱捕过程的物理或生物系统的重要作用。