  We examine the (2+1)-dimensional Dirac equation in a homogeneous magnetic
field under the non-relativistic anti-Snyder model which is relevant to
deformed special relativity (DSR) since it exhibits an intrinsic upper bound of
the momentum of free particles. After setting up the formalism, exact eigen
solutions are derived in momentum space representation and they are expressed
in terms of finite orthogonal Romanovski polynomials. There is a finite maximum
number of allowable bound states due to the orthogonality of the polynomials
and the maximum energy is truncated at the maximum n. Similar to the minimal
length case, the degeneracy of the Dirac-Landau levels in anti- Snyder model
are modified and there are states that do not exist in the ordinary quantum
mechanics limit. By taking zero mass limit, we explore the motion of effective
zero mass charged Fermions in Graphene like material and obtained a maximum
bound of deformed parameter. Furthermore, we consider the modified energy
dispersion relations and its application in describing the behavior of
neutrinos oscillation under modified commutation relations.
