Several dark energy models on the brane are investigated. They are compared
with corresponding theories in the frame of 4d Friedmann-Robertson-Walker
cosmology. To constrain the parameters of the models considered, recent
observational data, including SNIa apparent magnitude measurements, baryon
acoustic oscillation results, Hubble parameter evolution data and matter
density perturbations are used. Explicit formulas of the so-called {\it
state-finder} parameters in teleparallel theories are obtained that could be
useful to test these models and to establish a link between Loop Quantum
Cosmology and Brane Cosmology. It is concluded that a joint analysis as the one
developed here allows to estimate, in a very convenient way, possible deviation
of the real universe cosmology from the standard Friedmann-Robertson-Walker
one.Comment: 19 pages, 6 figures. arXiv admin note: text overlap with
arXiv:1206.219