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Heat kernel estimates for time fractional equations

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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… Click to show full 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.

Keywords: estimates time; fractional equations; kernel estimates; time fractional; heat kernel

Journal Title: Forum Mathematicum
Year Published: 2018

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