Heat kernel estimates for time fractional equations

2017/08/19 by Zhen-Qing Chen, Panki Kim, Chen, Zhen-Qing +5 · 1 citation
Mathematics · #FOS: Mathematics #Fixed Point Theorems Analysis #Fractional Differential Equations Solutions #Nonlinear Differential Equations Analysis #Probability (math.PR)

paper · pdf · doi:10.48550/arxiv.1708.05863

openalex publication_date 2017/08/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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.

Citations

• Asymptotic properties of some space-time fractional stochastic equations

Cited by

• Stochastic solutions for space-time fractional evolution equations on\n bounded domain

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