The Web of Science database (composed of: Arts & Humanities Citation Index, Social Sciences Citation Index, and Science Citation Index Expanded) is the original citation research source and is the most interdisciplinary and most comprehensive citation resource available. Web of Science extracts the citation information from the articles in over 10,000 journals.
A citation search in the Web of Science is not a complete citation search:
WoS enters citations as they appear in the article, so if a citing author incorrectly cites a source article, it will show up in WoS as a Variant.
Variants will only show when the first author is searched.
Because of this, you may miss several cites if you go only by the Cited By number on the WoS article record, or if you search on yourself, rather than the first author of the article.
To be most comprehensive, use your CV as a guide when searching.