A sentence fragment, also commonly known as an incomplete sentence, is a sentence that is missing a subject, a verb, or both.
For additional information, see The Writing Center, UNC

When people are trying to be brief, they might leave out important words that create fragments instead of sentences. Just because a sentence has a capital letter and punctuation, it doesn't mean it is a complete sentence.
Examples of Sentence Fragments:
Over the next hill!
A tree with wings!
On DVD December 19!

“Join or Die,” America's first political cartoon, is an example of a sentence fragment because it doesn’t have a subject. Who needs to join or else they die? The snake in the picture is also cut into fragments, illustrating the problem.
