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arXiv · 1701.04046

On time-fractional diffusion equations with space-dependent variable order

Yavar Kian·Eric Soccorsi·Masahiro Yamamoto
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Abstract

We investigate diffusion equations with time-fractional derivatives of space-dependent variable order. We examine the well-posedness issue and prove that the space-dependent variable order coefficient is uniquely determined among other coefficients of these equations, by the knowledge of a suitable time-sequence of partial Dirichlet-to-Neumann maps.

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Yavar Kian, Eric Soccorsi, Masahiro Yamamoto. 2017-01-15. On time-fractional diffusion equations with space-dependent variable order. https://doi.org/10.1007/s00023-018-0734-y

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