Uniqueness for inverse problems of determining orders of multi-term time-fractional derivatives of diffusion equation
Uniqueness for inverse problems of determining orders of multi-term time-fractional derivatives of diffusion equation
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DOI：
10.1080/00036811.2014.926335
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发表时间：
2015-03-04
影响因子：
1.1
通讯作者：
Yamamoto, Masahiro
中科院分区：
文献类型：
--
作者：
Li, Zhiyuan;Yamamoto, Masahiro
本文通过逐点观察证明了识别具有多重时间分数阶导数的扩散方程中分数阶的两类反问题的唯一性。通过本征函数展开和拉普拉斯变换，我们将反问题的唯一性简化为某个特殊函数展开的唯一性，并完成了证明。
This article proves the uniqueness for two kinds of inverse problems of identifying fractional orders in diffusion equations with multiple time-fractional derivatives by pointwise observation. By means of eigenfunction expansion and Laplace transform, we reduce the uniqueness for our inverse problems to the uniqueness of expansions of some special function and complete the proof.