Web fiction, Cyber fiction

I searched for quite some time on the Internet the Russian word for "web fiction"/"cyber fiction" but failed to find one.
Is it "веб-роман" или что?

I'm not sure if we have a special term for "web-fiction" in Russian. I bet we'd just call that "fiction", which is фантастика in Russian, as no one would care that web fiction is a work of fiction available primarily or solely on the internet. It's genre or subgenre what matters to us, not where you can find a work of art. E.g. A web fiction written in science fiction genre would just be научная фантастика for us.

Cyber fiction is definitely a genre, so it is a thing in Russian - киберфантастика.

https://www.google.ru/search?q=what+...B8%D0%BA%D0%B0

We have term "самиздат" ("сам"="self", "издательство"=publication) from soviet times. Originally this term was about politically banned works which were copied manually by activists-volunteers.
Today it's more about web-published works with web-site Самиздат (branch of oldest russian free web-library Lib.Ru: Библиотека Максима Мошкова) hosting hundred of thousands of non-professional works.
They still present genuine examples of web-designs of nineties.
However, as was said, we do not pay attention to the source of work to mark such things by this label as something important.