Whichelow has agreed a three-month stay at the Crown Ground, while fellow 20-year-old midfielder Mingoia is with Paul Cook's squad for an initial month with a view to an extension.
"Neither of us have come here to just watch, we want to play games," Whichelow told Accrington's official website. "If that means battling for positions then so be it, it's about playing games.
"I've heard about other players coming here on loan and doing well like Tom Lees at Leeds. He came here and did well and now he's just got an England (Under-21) call up. We'd like to come in and do exactly the same."
Mingola, who like Whichelow is available for Tuesday night's trip to Chesterfield, added: "The manager told us that the club try to do things properly and the way they play is the way I like to play so hopefully it's a good match," added midfielder Mingoia.
"We met the boys in the hotel at Dagenham on Saturday and everyone's been really nice so hopefully that will help us make a good start."