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I'm not certain about Malta, however, based on where it is situated I would expect that the most likely cavalry support would have come from Stradiot. These Greco-Albanian light horsemen were mercenaries adept at fighting the Turks, and were often hired by Italian and German princes and kings.
there is mention of knights charging the reteating turks,when the grand relief force landed and deployed.i dont know if they were mounted or on foot,maybe someone else knows.