Inverse problems for a perturbed time fractional diffusion equation with final overdetermination

被引：14

作者：

Kinash, Nataliia ^{[1
]}

Janno, Jaan ^{[1
]}

机构：

[1] Tallinn Univ Technol, Dept Cybernet, Ehitajate Tee 5, EE-19086 Tallinn, Estonia

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2018年 / 41卷 / 05期

关键词：

fractional diffusion; fractional parabolic equation; inverse problem; UNIQUENESS;

D O I：

10.1002/mma.4719

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Inverse problems to recover a space-dependent factor of a source term and an initial condition in a perturbed time fractional diffusion equation containing an additional convolution term from final data are considered. Existence, uniqueness, and stability of solutions to these problems are proved.

引用

页码：1925 / 1943

页数：19

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