Web of Science Core Collection which you can access by clicking on Web of Science (Core Collection) OR selecting it from the Library's Databases A-Z listing. Keyword search to find the article in the database and click on the Times Cited link to pull up the listing of articles that cite it.
EBSCOhost collections have a Cited Reference search tab that you can use to search your article which will result in a listing of articles that cite you. The Cited Reference search only works for these collections; Academic Search Complete, Communication & Mass Media Complete, EconLit with Full Text & Greenfile, and you must search the collections separately for the Cited Reference search tab to appear.
Google Scholar Find your article and look at the Cited By entry.