  The paper introduces Laplace-type operators for functions defined on the
tangent space of a Finsler Lie algebroid, using a volume form on the
prolongation of the algebroid. It also presents the construction of a
horizontal Laplace operator for forms defined on the prolongation of the
algebroid. All of the Laplace operators considered in the paper are also
locally expressed using the Chern-Finsler connection of the algebroid.
