I solved it using the following:
public List<String> fetchAppIdsForUser() {
Connection<FacebookApp> appList = getClient().fetchConnection("me/applications/developer", FacebookApp.class);
List<FacebookApp> list = appList.getData();
ArrayList<String> appNames = new ArrayList<String>();
for (FacebookApp app: list) {
appNames.add(app.getName());
}
return appNames;
}