  The Snyder-de Sitter (SdS) model which is invariant under the action of the
de Sitter group, is an example of a noncommutative spacetime with three
fundamental scales. In this paper, we considered the massless Dirac fermions in
graphene layer in a curved Snyder spacetime which are subjected to an external
magnetic field. We employed representation in the momentum space to derive the
energy eigenvalues and the eigenfunctions of the system. Then, we used the
deduced energy function obtaining the internal energy, heat capacity, and
entropy functions. We investigated the role of the fundamental scales on these
thermal quantities of the graphene layer. We found that the effect of the SdS
model on the thermodynamic properties is significant.
