  An essential attribute of many fractal structures is self-similarity. A
Sierpinski gasket (SPG) triangle is a promising example of a fractal lattice
that exhibits localized energy eigenstates. In the present work, for the first
time we establish that a mixture of both extended and localized energy
eigenstates can be generated yeilding mobility edges at multiple energies in
presence of a time-periodic driving field. We obtain several compelling
features by studying the transmission and energy eigenvalue spectra. As a
possible application of our new findings, different thermoelectric properties
are discussed, such as electrical conductance, thermopower, thermal conductance
due to electrons and phonons. We show that our proposed method indeed exhibits
highly favorable thermoelectric performance. The time-periodic driving field is
assumed through an arbitrarily polarized light, and its effect is incorporated
via Floquet-Bloch ansatz. All transport phenomena are worked out using Green's
function formalism following the Landauer-B\"{u}ttiker prescription.
