Yes, not only are "is" and "are" verbs, they are two forms of the same verb, "be".
See link below for a complete conjugation of that irregular verb in English.
Normal verbs, abstract verbs, posession verbs, emotion verbs and mixed verbs
Be verbs, present tense be verbs. I am He is/she is/it is
The two kinds of verbs are linking verbs and verbs.
Some example of verbs for an act (action verbs):actbringchewdrilleducatefindgohireirkjumpkneellaughmissSome examples of verbs to be (being verbs):amarebebeenbeingiswaswere
Action Verbs and Helping Verbs
Verb semantic classes are then constructed from verbs, modulo exceptions, which undergo a certain number of alternations. From this classification, a set of verb semantic classes is organized. We have, for example, the classes of verbs of putting, which include Put verbs, Funnel Verbs, Verbs of putting in a specified direction, Pour verbs, Coil verbs, etc. Other sets of classes include Verbs of removing, Verbs of Carrying and Sending, Verbs of Throwing, Hold and Keep verbs, Verbs of contact by impact, Image creation verbs, Verbs of creation and transformation, Verbs with predicative complements, Verbs of perception, Verbs of desire, Verbs of communication, Verbs of social interaction, etc. As can be noticed, these classes only partially overlap with the classification adopted in WordNet. This is not surprising since the classification criteria are very different.
normal verbs non continuous verbs (include abstract, possession and emotional verbs) mixed verbs There are divisions and sub divisions according to syntax. Finite verbs - transitive and intransitive verbs non finite verbs - infinitives, gerunds and participles helping verbs (auxiliaries) primary and modal
Being verbs are verbs of being such as is, am, being, been, was, were, and can
I am not sure what you mean by 'special verbs'. You need to give examples or re ask your question. There are many kinds of verbs; be verbs, action verbs, state verbs, present participles, past participles, auxiliary verbs, etc The term 'special verbs' is not usually found in grammar books
Verbs show actions - He ate the cake. Verbs show states - He was hungry. Verbs in bold.
Explicit verbs are verbs which are unambiguous and leave no doubt as to what they mean.
to be verbs or verbs of being are linking verbs or helping verbs. They are: am is are was were have has had do did does think seem feel remain can could should would may might must smell taste