Armodafinil is stronger and has a longer half life (lasts longer) some people also say it is “smoother” as well though your mileage may vary. Both arma and Moda are wakefulness agents not stimulants so they mask the effects of tiredness resulting in a better quality of life for tired people whatever the cause. This is usually presented in better focus.
Modafinil is 50/50 of the (R) and (S) enantiomer while Armodafinil is completely made up of the R-enantiomer. What I’m not quite sure of is, the S-enantiomer is supposed to be inactive while at the same time shortening onset due to its half life of 4 hours.
Adderall is a stimulant and will make you more focused but can have pretty bad/annoying side effects, it has nothing to do with tiredness so will work regardless of your current state.
Generally Moda/arma is more subtle than a stimulant of any kind including adderall.