Special Session 83: New Aspects of Mathematical Modeling and Analysis in Materials Science

On solvability of a time-fractional semilinear heat equation
Mizuki Kojima
Kanagawa University
Japan
Co-Author(s):    Kotaro Hisa
Abstract:
We are concerned with a semilinear parabolic problem with the Caputo type fractional derivative with respect to time. The problem where the fractional derivative is replaced with the classical one can be considered as the usual parabolic problem. The main interest is to clarify the solvability when the order of derivative approaches integer.