Are there any recent Halachic sources that discuss whether or not the Yehi Ratzons following the Torah reading would be recited a fast day that falls out on S/T/W/F?
I realize that at Why are the Yehi Ratzon prayers connected to Tachanun? it is indicated that there is something special about Mondays and Thursdays, however a similar argument could be made for Fast Days, when we say Selichos, or we could just not rule like the view brought there.