Direct and inverse source problems for a space fractional advection dispersion equation

@article{Aldoghaither2016DirectAI,
  title={Direct and inverse source problems for a space fractional advection dispersion equation},
  author={Abeer Aldoghaither and Taous-Meriem Laleg-Kirati and Da-Yan Liu},
  journal={Journal of Inverse and Ill-posed Problems},
  year={2016},
  volume={25},
  pages={207 - 220}
}
Abstract In this paper, direct and inverse problems for a space fractional advection dispersion equation on a finite domain are studied. The inverse problem consists in determining the source term from final observations. We first derive the analytic solution to the direct problem which we use to prove the uniqueness and the unstability of the inverse source problem using final measurements. Finally, we illustrate the results with a numerical example. 

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