A two-dimensional diffusion coefficient determination problem for the time-fractional equation

被引：28

作者：

Durdiev, Durdimurod K. ^{[1
]}

Rahmonov, Askar A. ^{[2
]}

Bozorov, Zavqiddin R. ^{[1
]}

机构：

[1] Acad Sci Uzbek, Bukhara Branch, Inst Math, Bukhara, Uzbekistan

[2] Bukhara State Univ, Dept Math, Bukhara, Uzbekistan

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2021年 / 44卷 / 13期

关键词：

diffusion equation; Gerasimov– Caputo fractional derivative; integral equation; inverse problem; Hö lder space; INVERSE PROBLEM; THERMAL MEMORY;

D O I：

10.1002/mma.7442

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider two-dimensional inverse problem for a fractional diffusion equation. The inverse problem is reduced to the equivalent integral equation. For solving this equation, the contracted mapping principle is applied. The local existence and global uniqueness results are proven. Also, the stability estimate is obtained.

引用

页码：10753 / 10761

页数：9

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