Symmetry Lie algebra and exact solutions of some fourth-order difference equations

In this paper, all the Lie point symmetries of difference equations of the form { Mathematical Formulas } where, (An)n≥0 and (Bn)n≥0 are sequences of real numbers, are obtained. We perform reduction of order using the invariant of the group of transformations. Furthermore, we obtain their solutions. In particular, our work generalizes some results in the literature.