Special Session 123: Nonlinear phenomena in elliptic and parabolic equations

On self-similar solutions of time-fractional semilinear heat equations
Mizuki Kojima
Kanagawa University
Japan
Co-Author(s):    
Abstract:
We consider self-similar solutions of semilinear heat equations involving the Caputo type fractional derivative with respect to time. We mainly investigate some properties of radially symmetric self-similar solutions. In particular, the solution can have a singularity at the origin under certain situation, which is specific to the time-fractional equation.