Anomalous diffusions and time fractional differential equations – Takashi Kumagai (Kyoto University)

February 22, 2022 @ 11:00 am – 11:30 am
Seminar Room 1
Newton Institute

Time fractional diffusion equations have been widely used to model anomalous diffusions exhibiting sub-diffusive behavior, due to particle sticking and trapping phenomena.
In this talk, I will discuss how anomalous sub-diffusions and the corresponding time-fractional differential equations arise naturally as limits of random walks in random media. I will then present some results on the probabilistic representation to the solutions of time fractional Poisson equations and estimates of their fundamental solutions.

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