An article on Wikipedia about a literary work might include a list of influences, i.e. a list of earlier works that influenced this one.
What about the other way around – a word for a later work that was influenced by this one? Is there a noun for that?
If we were talking about people not books it would be follower or disciple. For a single thing, i.e. the book that takes after an earlier work, I think we need to use either:
And based on your edit I think what you are looking for is derivatives or offshoots.
Follows, derivative, imitative, aping, copying, wannabe, offshoot. And indeed, "influenced by".
If there are a great many, we may say that it was "in the tradition" of the earlier work, or even that it is part of a genre or movement that it (alone, or along with contemporaneous works) started. (Or perhaps founded if there was a conscious attempt to move in a particular artistic direction).
Follower, adherent, disciple, imitator, aper, copyist, wannabe & protégé can all apply to artists who came later, with different nuances as to the relationship to the earlier.
English speakers routinely add prefixes and suffixes to produce words from existing words. In this situation you can simply produce
influencee from influence
to get the meaning you want.
The -ee suffix means “the recipient of an action”. It comes from “the Anglo-French -é ending of [past participles] used as nouns.” It was originally used when writing law, and is still very commonly used in that context.¹ This is analogous to producing
educatee from educate
employee from employ
endorsee from endorse
enlistee from enlist
enrollee from enroll
evictee from evict
examinee from examine
illuminee from illumine
importee from import
indictee from indict
inductee from induct
interrogatee from interrogate
interviewee from interview
invitee from invite
and that is just considering a selection of verbs beginning with e and i.
The noun descendant is relevant, in its sense “(figuratively) A thing that derives directly from a given precursor or source [eg] This famous medieval manuscript has many descendants.” Also-used is children, from senses of child that include “(figuratively) An offspring” and “(figuratively) A thing or abstraction derived from or caused by something.” (For example, the 100+ companies that were offshoots of Fairchild Semiconductor, like AMD and Intel, have been called Fairchildren.)
If the influence is very strong, the term progeny may suit
One born of, begotten by, or derived from another; an offspring or a descendant.
