IDENTIFICATION OF AN UNKNOWN SOURCE TERM FOR A TIME FRACTIONAL FOURTH-ORDER PARABOLIC EQUATION

被引：0
|
作者：
Aziz, Sara [1 ]
Malik, Salman A. [1 ]
机构：
[1] COMSATS Inst Informat Technol, Dept Math, Pk Rd, Chak Shahzad Islamabad, Pakistan
来源：
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2016年
关键词：
Inverse problem; fractional derivative; integral equation; Riesz basis; bi-orthogonal system of functions; Fourier series; PARTIAL-DIFFERENTIAL-EQUATION; INVERSE SOURCE PROBLEM; DIFFUSION EQUATION; UNIQUENESS; DERIVATIVES; PARAMETER; EXISTENCE; SPACE;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this article, we considered two inverse source problems for fourth-order parabolic differential equation with fractional derivative in time. Determination of a space dependent source term from the data given at some time t = T is considered in one problem while other addresses the recovery of a time dependent source term from the integral type over-determination condition. Existence and uniqueness of the solution of both inverse source problems are proved. The stability results for the inverse problems are presented.
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页数：20
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