A multidimensional diffusion coefffiicient determination problem for the time-fractional equation

被引：18

作者：

Durdiev, Durdimurod ^{[1
]}

Rahmonov, Askar ^{[1
,2
]}

机构：

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

[2] Bukhara State Univ, Fac Phys & Math, Dept Differential Equat, Bukhara, Uzbekistan

来源：

TURKISH JOURNAL OF MATHEMATICS | 2022年 / 46卷 / 06期

关键词：

Diffusion equation; Gerasimov-Caputo fractional derivative; overdetermination integral condition; H?lder space; integral equation;

D O I：

10.55730/1300-0098.3266

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we consider a multidimensional inverse problem for a fractional diffusion equation. The inverse problem is reduced to the equivalent integral equation. For solving this equation the Schauder principle is applied. The local existence and uniqueness results are obtained.

引用

页码：2250 / 2263

页数：15

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