I'm not very familiar with novels specifically labeled as 'fallocaust dystopian novels'. However, Margaret Atwood's 'The Handmaid's Tale' has dystopian elements. It shows a society where women are oppressed, which could be part of the broader themes in a fallocaust dystopia. Another one could be Cormac McCarthy's 'The Road', which depicts a post - apocalyptic world full of desolation and survival struggles.
I'm not sure about specific 'fallocaust' dystopian novels as it might be a relatively niche term. But some well - known dystopian novels are '1984' by George Orwell and 'Brave New World' by Aldous Huxley. These novels have elements that could potentially be related to what might be in a fallocaust - style dystopia, like a controlling government and a society in turmoil.