On the Well-Posedness of Determination of Two Coefficients in a Fractional Integrodifferential Equation

The authors study an inverse problem for a fractional integrodifferential equation, which aims to determine simultaneously two time varying coefficients, a kernel function and a source function, from the additional integral overdetermination condition. By using the fixed point theorem in suitable So...

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Bibliographic Details
Published inChinese annals of mathematics. Serie B Vol. 35; no. 3; pp. 447 - 468
Main Authors Wang, Haibing, Wu, Bin
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer Berlin Heidelberg 01.05.2014
Department of Mathematics, Southeast University, Nanjing 210096, China%College of Mathematics and Physics, Nanjing University of Information Science and Technology, Nanjing 210044, China
Subjects
Applications of Mathematics
Mathematics
Mathematics and Statistics
Sobolev空间
不动点定理
分数
时间系数
测定
积分方程
输出功能
适定性
35R11
Fractional integrodifferential equation
35R30
Existence
Uniqueness
Inverse problem
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Summary:The authors study an inverse problem for a fractional integrodifferential equation, which aims to determine simultaneously two time varying coefficients, a kernel function and a source function, from the additional integral overdetermination condition. By using the fixed point theorem in suitable Sobolev space, the global existence and uniqueness results of this inverse problem are obtained.
Bibliography:Inverse problem, Fractional integrodifferential equation, Existence,Uniqueness
31-1329/O1
The authors study an inverse problem for a fractional integrodifferential equation, which aims to determine simultaneously two time varying coefficients, a kernel function and a source function, from the additional integral overdetermination condition. By using the fixed point theorem in suitable Sobolev space, the global existence and uniqueness results of this inverse problem are obtained.
ISSN:0252-9599
1860-6261
DOI:10.1007/s11401-014-0832-1