Inverse source problem for a time-fractional diffusion equation with nonlocal boundary conditions

被引：72

作者：

Ismailov, Mansur I. ^{[1
]}

Cicek, Muhammed ^{[1
]}

机构：

[1] Gebze Tech Univ, Dept Math, TR-41400 Gebze, Kocaeli, Turkey

来源：

APPLIED MATHEMATICAL MODELLING | 2016年 / 40卷 / 7-8期

关键词：

Inverse source problem; Fractional diffusion equation; Generalized Fourier method; DEPENDENT SOURCE;

D O I：

10.1016/j.apm.2015.12.020

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

In this paper, an inverse problem of determining a time-dependent source term in a one-dimensional time-fractional diffusion equation from the energy measurement is studied. This problem is obtained from a classical diffusion problem by replacing the time derivative with a fractional derivative. The well-posedness of the inverse problem is shown by using eigenfunction expansion of a non-self adjoint spectral problem along the generalized Fourier method. (C) 2015 Elsevier Inc. All rights reserved.

引用

页码：4891 / 4899

页数：9