We refer to the pronunciation of these words as relaxed pronunciation. Because kinda, coulda, etc. are not actual words, they will not be accepted in formal writing but are accepted in informal speech. Here is the Wikipedia introduction to relaxed pronunciation:
Relaxed pronunciation (also called condensed pronunciation or word slurs) is a phenomenon that happens when the syllables of common words are slurred together. It is almost always present in normal speech, in all natural languages.