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

共 50 条

[21] Numerical methods for solving inverse problems for time fractional diffusion equation with variable coefficient
Bondarenko, A. N.
Ivaschenko, D. S.
JOURNAL OF INVERSE AND ILL-POSED PROBLEMS, 2009, 17 (05): : 419 - 440
[22] Existence and Uniqueness Results for an Inverse Problem for a Semilinear Equation with Final Overdetermination
Sazaklioglu, Ali Ugur
Erdogan, Abdullah Said
Ashyralyev, Allaberen
FILOMAT, 2018, 32 (03) : 847 - 858
[23] Inverse problems for a generalized fractional diffusion equation with unknown history
Janno, Jaan
INVERSE PROBLEMS, 2024, 40 (12)
[24] Inverse coefficient problem for a fractional wave equation with time-nonlocal and integral overdetermination conditions
Durdiev, D. K.
Rahmonov, A. A.
BOLETIN DE LA SOCIEDAD MATEMATICA MEXICANA, 2023, 29 (02):
[25] Inverse coefficient problem for a fractional wave equation with time-nonlocal and integral overdetermination conditions
D. K. Durdiev
A. A. Rahmonov
Boletín de la Sociedad Matemática Mexicana, 2023, 29
[26] AN INVERSE SOURCE PROBLEM FOR A GENERALIZED TIME FRACTIONAL DIFFUSION EQUATION
Faizi, R.
Atmania, R.
EURASIAN JOURNAL OF MATHEMATICAL AND COMPUTER APPLICATIONS, 2022, 10 (01): : 26 - 39
[27] Inverse Problem for the Diffusion Equation with Overdetermination in the Form of an External Volume Potential
Denisov, A. M.
COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS, 2011, 51 (09) : 1588 - 1595
[28] INVERSE COEFFICIENT PROBLEM FOR THE TIME-FRACTIONAL DIFFUSION EQUATION
Durdiev, D. K.
EURASIAN JOURNAL OF MATHEMATICAL AND COMPUTER APPLICATIONS, 2021, 9 (01): : 44 - 54
[29] Inverse Problems for Diffusion Equation with Fractional Dzherbashian-Nersesian Operator
Anwar Ahmad
Muhammad Ali
Salman A. Malik
Fractional Calculus and Applied Analysis, 2021, 24 : 1899 - 1918
[30] Inverse problem for the diffusion equation with overdetermination in the form of an external volume potential
A. M. Denisov
Computational Mathematics and Mathematical Physics, 2011, 51 : 1588 - 1595

← 1 2 3 4 5 →