DETERMINATION OF AN UNKNOWN SOURCE TERM TEMPERATURE DISTRIBUTION FOR THE SUB-DIFFUSION EQUATION AT THE INITIAL AND FINAL DATA

被引：0

作者：

Kirane, Mokhtar ^{[1
,2
,3
]}

Samet, Bessem ^{[4
]}

Torebek, Berikbol T. ^{[5
,6
]}

机构：

[1] Univ La Rochelle, Fac Sci Pole Sci & Technol, LaSIE, Ave M Crepeau, F-17042 La Rochelle, France

[2] King Abdulaziz Univ, Dept Math, Fac Sci, NAAM Res Grp, POB 80203, Jeddah 21589, Saudi Arabia

[3] RUDN Univ, 6 Miklukho Maklay St, Moscow 117198, Russia

[4] King Saud Univ, Dept Math, Coll Sci, POB 2455, Riyadh 11451, Saudi Arabia

[5] Inst Math & Math Modeling, Dept Differential Equat, 125 Pushkin Str, Alma Ata 050010, Kazakhstan

[6] Al Farabi Kazakh Natl Univ, 71 Al Farabi Ave, Alma Ata 050040, Kazakhstan

来源：

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2017年

关键词：

Inverse problem; involution; nonlocal sub-diffusion equation; fractional-time diffusion equation; DENSITY;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider a class of problems modeling the process of determining the temperature and density of nonlocal sub-diffusion sources given by initial and finite temperature. Their mathematical statements involve inverse problems for the fractional-time heat equation in which, solving the equation, we have to find the an unknown right-hand side depending only on the space variable. The results on existence and uniqueness of solutions of these problems are presented.

引用

页数：13

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