grow up vs mature

grow up is not an adjective while mature is an adjective.

Word	Noun	Adjective	Verb	Adverb
grow up	No	No	Yes	No
mature	No	Yes	Yes	No

As verbs, mature is a hypernym of grow up; that is, mature is a word with a broader meaning than grow up:

Other hypernyms of grow up include grow, maturate.

grow up (adjective)	mature (adjective)
	having reached full natural growth or development
	characteristic of maturity
	(of birds) having developed feathers or plumage; often used in combination
	fully developed or matured and ready to be eaten or used
	fully considered and perfected

grow up (verb)	mature (verb)
become an adult	cause to ripen and discharge pus
	develop and reach maturity; undergo maturation
	grow old or older
	become due for repayment
	cause to ripen or develop fully
	develop and work out fully in one's mind