Continuous-time random walks of a particle that is randomly reset to an initial position are considered. The distribution of the waiting time between the reset events is represented as a sum of an arbitrary number of exponentials. The governing equation of this stochastic process is established. The mean first-passage time to a particular position is calculated. It is shown that anomalous subdiffusion has a significant impact on the shape of the stationary state.
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V. P. Shkilev (2017) studied this question.
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