Uniqueness in determining the orders of time and spatial fractional derivatives

Masahiro Yamamoto

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arXiv · 2006.15046

Uniqueness in determining the orders of time and spatial fractional derivatives

Masahiro Yamamoto

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Abstract

We prove the uniqueness in determining both orders of fractional time derivatives and spatial derivatives in diffusion equations by pointwise data. The proof relies on the eigenfunction expansion and the asymptotics of the Mittag-Leffler function.

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Masahiro Yamamoto. 2020-06-26. Uniqueness in determining the orders of time and spatial fractional derivatives. https://arxiv.org/abs/2006.15046

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