I'm not an AV exert, but I seem to remember hearing people complain of mealybugs. If you have any uninfected plants, isolate them quickly, and ditch the rest, if no one here as any better ideas.

Mealy bug is white and can be treated with alcohol on the tip of a Qtip as long as the infestation isn't that severe.

I don't see your area as white. If it is only infecting the flowers, I would cut the affected flowers off and make sure you keep everything clean. Wash your hands after you treat the plant and ISOLATE it until you are sure it didn't spread.

I might even use a general all purpose insecticide on everything until you think it is gone. Won't hurt to try! Good Luck! Rosie

Thanks everybody for your help. I also was advised by one of my friends that these most likely are Red Spider Mites, and they indeed do fit it's description. I also found insecticide spray in Home Depot for these bugs and I just sprayed all infected violets in hope it will help them recover.

Please do read the labels of all insecticides. Use them only for what the label says they are for. Some insecticides actually act like food for mites.