Identification of time-varying source term in time-fractional diffusion equations

@article{Kian2022IdentificationOT,
  title={Identification of time-varying source term in time-fractional diffusion equations},
  author={Yavar Kian and Eric Soccorsi and Qi Xue and Masahiro Yamamoto},
  journal={Communications in Mathematical Sciences},
  year={2022}
}
This paper is concerned with the inverse problem of determining the time and space dependent source term of diffusion equations with constant-order time-fractional derivative in (0, 2). We examine two different cases. In the first one, the source is the product of two spatial and temporal terms, and we prove that both of them can be retrieved by knowledge of one arbitrary internal measurement of the solution for all times. In the second case, we assume that the first term of the product varies… 

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