the solution of the form $\Psi_{+}\propto \delta(P^{0}-\varepsilon m) \delta({\bf P})
\Psi^{0}$, whereas eq. (\[majo\]) has no nontrivial solution. Hence, the pair of equations (\[baseq\]) has nontrivial solutions only in the case $\Psi=\Psi_{+}$, describing the field with spin $s=\varepsilon\alpha_{+}$ and mass $m$. At $\nu=0$, eqs. (\[baseq\]) turn into Volkov-Sorokin-Tkach equations for a field with spin $s=1/4\cdot \varepsilon$ [@stv; @sv] being (2+1)-dimensional analogues of the Dirac (3+1)-dimensional positive-energy relativistic wave equations [@dirac].

Thus, we have constructed the minimal covariant system of linear differential equations (\[baseq\]) for the field with arbitrary fractional spin, whose value is defined by the deformation parameter: $s=\varepsilon\cdot\frac{1}{4}(1+\nu)\neq
0$.

There is the following connection between the spinor operator (\[da\]) and the vector operator (\[lvector\]), which is valid on the even subspace of the Fock space of the $\nu$-deformed bosonic oscillator: $$(\gamma_{\mu})^{\alpha\beta}L_{\alpha}S_{\beta}\Psi_+=V_{\mu}\Psi_+,
\label{spvec}$$ where we suppose that $V_\mu$ is given by eq. (\[lvector\]) with the operators $J_\mu$ being realized in the form (\[jmu\]). From here we conclude that the field $\Psi_+$ satisfying spinor system of independent eqs. (\[baseq\]), satisfies also the vector system of dependent equations (\[vector\]), and, therefore, the constructed system of equations (\[baseq\]) is a fundamental system of linear differential equations for the fractional spin fields. We shall 