A proper article indicates that its noun is proper, and refers to a unique entity. It may be the name of a person, the name of a place, the name of a planet, etc.
The definite article is sometimes also used with proper names, which are already specified by definition (there is just one of them).
A partitive article is a type of article, sometimes viewed as a type of indefinite article, used with a mass noun such as water, to indicate a non-specific quantity.
A negative article specifies none of its noun, and can thus be regarded as neither definite nor indefinite. On the other hand, some consider such a word to be a simple.