Although Alaska is geographically a continental state (sharing North America, but separated from the Lower 48 by Canada), legally it is considered a non-continental state. This rhetorical distinction originated in the Alaska Omnibus Act of 1959 in light of the state's admission into the Union and had to do with IRS legalities.
In Hawai‘i, the continental United States is typically referred to as "the mainland". In Alaska the continental United States is referred to as "the lower 48", or also "outside".
See also: Mainland