Uniqueness for inverse problems of determining orders of multi-term time-fractional derivatives of diffusion equation

被引：84

作者：

Li, Zhiyuan ^{[1
]}

Yamamoto, Masahiro ^{[1
]}

机构：

[1] Univ Tokyo, Grad Sch Math Sci, Meguro Ku, Tokyo 1538914, Japan

来源：

APPLICABLE ANALYSIS | 2015年 / 94卷 / 03期

关键词：

determination of fractional orders; multi-time-fractional derivatives; fractional diffusion equation; eigenfunction expansion; inverse problem; 35R30; 35R11; 44A10;

D O I：

10.1080/00036811.2014.926335

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：570 / 579

页数：10

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