An inverse source problem for a two parameter anomalous diffusion equation with nonlocal boundary conditions

被引：36

作者：

Malik, Salman A. ^{[1
]}

Aziz, Sara ^{[1
]}

机构：

[1] COMSATS Inst Informat Technol, Dept Math, Pk Rd, Chak Shahzad Islamabad, Pakistan

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2017年 / 73卷 / 12期

关键词：

Fractional derivative; Riesz basis; Bi-orthogonal system of functions; Mittag-Leffler function; FRACTIONAL DYNAMICS; UNIQUENESS;

D O I：

10.1016/j.camwa.2017.03.019

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the inverse problem of determination of the solution and a source term for a time fractional diffusion equation in two dimensional space. The time fractional derivative is the Hilfer derivative. A bi-orthogonal system of functions in L-2(Omega), obtained from the associated non-self-adjoint spectral problem and its adjoint problem, is used to prove the existence and uniqueness of the solution of the inverse problem. The stability of the solution of the inverse problem on the given data is proved. (C) 2017 Elsevier Ltd. All rights reserved.

引用

页码：2548 / 2560

页数：13

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