set of three equations is necessary only to have an explicitly covariant set of linear differential equations.

Thus, eq. (\[vector\]) is the set of linear differential equations which itself, unlike the set of initial equations (\[kle\]) and (\[maj\]), fixes the choice of the representations $D^{\pm}_{\alpha}$ for the description of fractional spin fields in 2+1 dimensions, and, on the other hand, establishes some links between the description of ordinary bosonic integer and fermionic half-integer spin fields, and the fields with arbitrary spin. At the same time we conclude that the minimal number of independent linear differential equations for fractional spin fields is equal to two. Therefore, the corresponding minimal covariant set of such equations must have a spinor form.

To construct such a covariant minimal spinor set of equations, we turn to the deformed Heisenberg algebra [@vas]. This algebra permits to realize the generators $J_{\mu}$ for the representations $D^{\pm}_{\alpha}$ in the form of operators bilinear in the creation-annihilation deformed oscillator operators $a^{\pm}$. On the other hand, as we shall see, operators $a^{\pm}$ together with operators $J_\mu$ will form $osp(1\vert 2)$ superalgebra, and, as a consequence, two linear combinations of $a^\pm$ will form a two-component self-conjugate object which exactly is a (2+1)-dimensional 