Medication For Inattentive ADHD Stimulants are among the most commonly used ADHD drugs. medication for inattentive adhd boost the levels chemical messengers within the brain that control behavior. Your doctor may prescribe stimulants like Adderall XR, Evekeo or Concerta (methylphenidate), or more long-acting drugs such as Ritalin or Concerta. Nonstimulant