Generic Well-posedness for an Inverse Source Problem for a Multi-term Time-fractional Diffusion Equation

TAIWANESE JOURNAL OF MATHEMATICS(2020)

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摘要
This paper deals with an inverse source problem for the multi-term time-fractional diffusion equation with a diffusion parameter by using final overdetermination. On the basis of analytic Fredholm theory, a generic well-posedness of the inverse source problem in some suitable function space is proved.
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关键词
multi-term time-fractional diffusion equation,inverse source problem,Fredholm alternative
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