分野別セミナー

Abstract: In this talk, we will give a brief introduction on the theory of symmetry analysis to differential equations with fractional order derivatives. I will introduce our research results on time fractional linear and nonlinear evolution systems with variable coefficients. This includes the group classification of the equations under study and invariant solutions obtained through symmetry methods and expressed in classical special functions. It can also be shown that the fundamental solutions of heat equations and the hypergeometric solutions of wave equations can be derived from the solutions that we obtained.

https://www.jgmi.kyushu-u.ac.jp/post-3865/