There are two resources you can use that will help you find what you are looking for -- newer research that cites an earlier, specific article.
One of these is the library research database Web of Science. It's best to search by author and/or article title here; once you find the record for the specific article you already have, you'll see "Times Cited" with a number beside it; click on that number to see the newer articles.
Another resource is Google Scholar. Search for the first author's last name, and add the title of the article in quotes. When you find the article, you'll see "Cited by" with a number after it. Clicking on "Cited by" will show you the articles that have cited it.
Neither one of these resources will necessarily show you every article that has ever cited the one you have--just the ones indexed by each resource. I would recommend using both Web of Science and Google Scholar.
