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
收藏
页码：1925 / 1943
页数：19
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