Direct and inverse source problems for a space fractional advection dispersion equation
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AbstractIn 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.
CitationAldoghaither A, Laleg-Kirati T-M, Liu D-Y (2017) Direct and inverse source problems for a space fractional advection dispersion equation. Journal of Inverse and Ill-posed Problems 25. Available: http://dx.doi.org/10.1515/jiip-2015-0037.
SponsorsResearch reported in this publication is supported by the King Abdullah University of Science and Technology (KAUST).
PublisherWalter de Gruyter GmbH