Medication For Inattentive ADHD The most popular ADHD drugs are stimulants. They boost the levels chemical messengers in the brain that control behavior. Your doctor may prescribe stimulants like Adderall XR, Evekeo or Concerta (methylphenidate) or more powerful drugs such as Ritalin or Concerta. Nonstimulant drugs, like atomoxetine and viloxazine,