具有粒子固定化过程的亚扩散：由含Riemann-Liouville型分数阶时间导数的微分方程描述
Subdiffusion with particle immobilization process described by differential equation with Riemann--Liouville type fractional time derivative
AI总结：
本文基于连续时间随机游走模型推导出含Riemann-Liouville型分数阶时间导数的亚扩散-固定化方程，并提出逆Laplace变换方法求解核函数，证明长时间极限下粒子分布趋于指数稳态。
摘要：
本文通过连续时间随机游走模型推导出一个描述粒子可能被固定化的亚扩散方程。该方程包含一个Riemann-Liouville型分数阶时间导数，它是一个微分-积分算子，其核函数由Laplace变换定义。我们提出了一种计算逆Laplace变换的方法，从而在时间域中得到该核函数。在长时间极限下，亚扩散-固定化过程达到一个稳态，在该稳态中粒子分布的概率密度为指数函数。
英文摘要：
An equation describing subdiffusion with possible immobilization of particles is derived by means of the continuous time random walk model. The equation contains a fractional time derivative of Riemann--Liouville type which is a differential-integral operator with the kernel defined by the Laplace transform. We propose the method for calculating the inverse Laplace transform providing the kernel in the time domain. In the long time limit the subdiffusion--immobilization process reaches a stationary state in which the probability density of a particle distribution is an exponential function.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
