Special Session 102: 

Maximum principles and comparison principles for time-fractional partial differential equations

Masahiro Yamamoto
The University of Tokyo
Japan
Co-Author(s):    Yuri Luchko
Abstract:
We consider the time fractional diffusion equation in a bounded domain. Since Luchko proved an extremum principle for Caputo derivatives in 2009, many results on the maximum principle and comparison principles have been proved. I survey recent results and show applications of them to an inverse problem and nonlinear fractional diffusion equations.