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arxiv: 1708.05863 · v2 · pith:IL5BV4UTnew · submitted 2017-08-19 · 🧮 math.PR

Heat kernel estimates for time fractional equations

classification 🧮 math.PR
keywords equationsfractionaltimeestimatessolutionsderiveestablishexistence
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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.

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