# HEAT KERNEL ESTIMATES FOR TIME FRACTIONAL EQUATIONS

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In this talk, we first discuss existence and uniqueness of weak solutions to general time fractional equations and give their probabilistic representation. We then talk about sharp two- sided estimates for fundamental solutions of general time fractional equations in metric measure spaces. This is a joint work with Zhen-Qing Chen(University of Washington, USA), Takashi Kumagai (RIMS, Kyoto University, Japan) and Jian Wang (Fujian Normal University, China).