At the beginning of the fight, throw a bomb so that you hit one of the goriyas, then try to corner one and kill it with your sword.
While Aquimentus is flying, charge a spin attack so that you can hit him when he lands. He can either charge or shoot fire rings at you. If he charges at you, you just need to wait until the cycle starts again. If he shoots fire rings at you, just slash your sword and take the damage. It is possible to be pushed back by clinking your sword against the body of Aquimentus to avoid damage, but you should be able to survive the fight either way.