Anomalous diffusions and time fractional differential equations

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• Takashi Kumagai (Kyoto University)
• Tuesday 22 February 2022, 11:00-11:30
• Seminar Room 1, Newton Institute.

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FD2W01 - Deterministic and stochastic fractional differential equations and jump processes

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.

This talk is part of the Isaac Newton Institute Seminar Series series.

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