adverb, noun, noun which may take the genitive case particle 'no'
some; a little; a certain amount
Used as a noun or adjectival modifier to indicate an unspecified but limited quantity or degree. Often followed by の or used with ある/いる.
See also: 幾分 (いくぶん)
冷蔵庫には幾分かの食べ物が残っている。
There is still some food left in the fridge.
彼は幾分かの経験がある。
He has some experience.
It is somewhat warm today.
彼の説明で問題が幾分か理解できた。
His explanation helped me understand the problem to some extent.
Combination of 幾分 (いくぶん, 'some degree') and the suffix か, which adds a sense of indefiniteness or approximation. The exact historical derivation is uncertain, but the form is a natural extension of the base word.