26-year-old Sean Caldwell was last seen at his home on the 200 block of Dailey Drive shortly after midnight.
Caldwell is described as a white male, 5'9, 140 pounds, with brown/red hair, brown eyes, and a beard.
He was last seen wearing a long black trench coat and jeans.
Police say Caldwell's medical condition is such that there is a real concern for his welfare.
Troopers are asking anyone who may have information as to his whereabouts to contact Delaware State Police at 302-697-4454 or Delaware Crime Stoppers at 1-800-TIP-3333.
Information may also be provided via the internet at www.tipsubmit.com