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

Abeer Aldoghaither, Taous-Meriem Laleg-Kirati, Da Yan Liu

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

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.
Original languageEnglish (US)
Pages (from-to)207-220
Number of pages14
JournalJournal of Inverse and Ill-Posed Problems
Volume25
Issue number2
DOIs
StatePublished - May 15 2016

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