  In this article, we studied the system of (2+1) dimensional Dirac equation in
time-dependent noncommutative phase-space. Exactly, we investigated the
analytical solution of the corresponding system by the Lewis-Riesenfeld
invariant method based on the construction of the Lewis-Riesenfeld invariant.
Knowing that we obtained the time-dependent Dirac Hamiltonian of the problem in
question from a time-dependent Bopp-Shift translation, then it used to set the
Lewis-Riesenfeld invariant operators. Thereafter, the obtained results used to
express the eigenfunctions that lead to determining the general solution of the
system.
