Feel can function as a copular verb, e.g. "I feel great".
Feel is an irregular lexical verb. It has the third person form "feels" (/fi:lz/), the -ing form feeling /fi:lɪŋ(g)/; the preterite and past participle are "felt" (/felt/). The sound pattern is the same as deal (with a minor spelling difference). Learners may over-regularise the preterite and past participle to *"feeled".