Heat kernel estimates for time fractional equations

Zhen Qing Chen, Panki Kim, Takashi Kumagai, Jian Wang*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

20 Citations (Scopus)


In this paper, we establish existence and uniqueness of weak solutions to general time fractional equations and give their probabilistic representations. We then derive sharp two-sided estimates for fundamental solutions of a family of time fractional equations in metric measure spaces.

Original languageEnglish
Pages (from-to)1163-1192
Number of pages30
JournalForum Mathematicum
Issue number5
Publication statusPublished - 2018 Sept 1
Externally publishedYes


  • Caputo derivative
  • Dirichlet form
  • heat kernel estimates
  • subordinator
  • time fractional equation

ASJC Scopus subject areas

  • General Mathematics
  • Applied Mathematics


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