报告题目：Mathematical analysis for diffusion equations with generalized fractional time derivatives

报告人：Zhiyuan Li(李志远)

       Graduate School of Mathematical Sciences, The University of Tokyo,

报告时间：2017.4.5（星期三） 下午3：00-4：00

报告地点：1518

摘要：

  Within the last few decades, the fractional diffusion models have received great attention in applied disciplines due to the succeeding in describing some anomalous phenomenon such as the non-Fickian growth rates and long-tailed profile, which are poorly characterized by the classical diffusion equations. However, when considering a diffusion equation with generalized fractional time derivatives as model equation for describing e.g. anomalous diffusion in inhomogeneous media, the weight function μ of distributed order derivatives should be determined by the inhomogeneity of the media, but it is not clear which physical law can relate the anomaly to μ, which requires one to consider inverse problems to identify these physical quantities from some additional information that can be observed or measured practically. This is the so-called inverse coefficient problem. Similarly we can consider inverse source problems, say, inverse problems in determining the unknown source term from the observation data.