Anomalous diffusions and fractional order differential equations

開催日時: 
2019/04/17 Wed 16:30 - 17:30
場所: 
RIMS110号室
講演者: 
Zhen-Qing Chen
講演者所属: 
Kyoto University and University of Washington
概要: 

Anomalous diffusion phenomenon has been observed in many natural systems, from the signaling of biological cells, to the foraging behavior of animals, to the travel times of contaminants in groundwater. In this talk, I will first discuss the interplay between anomalous sub-diffusions and time-fractional differential equations, including how they arise naturally from limit theorems for random walks.
I will then present some recent results in this area, in particular on the probabilistic representation to the solutions of time fractional equations with source terms.