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| On the Well-Posedness of Determination ofTwo Coefficients in a FractionalIntegrodifferential Equation? |
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Citation： |
Haibing WANG,Bin WU.On the Well-Posedness of Determination ofTwo Coefficients in a FractionalIntegrodifferential Equation?[J].Chinese Annals of Mathematics B,2014,35(3):447~468 |
| Page view： 2949
Net amount： 2045 |
Authors： |
Haibing WANG; Bin WU; |
Foundation： |
National Natural Science Foundation of China (Nos. 11201238,11301075), the Jiangsu Provincial Natural Science Foundation of China (No. BK20130594) and theFundamental Research Funds for the Central Universities (No. 3207013101). |
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| Abstract： |
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. |
Keywords： |
Inverse problem, Fractional integrodifferential equation, Existence,Uniqueness |
Classification： |
35R30, 35R11 |
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