The former is a realistic fantasy while the other is more high fantasy, both falling under the fantasy umbrella. At a glance, the only similarity they share is a focus on legendary swords and dragons. However, it's almost surprising how much these two worlds, and their champions, have in common.
White hair and oddly colored eyes are the physical trademarks of House Targaryen, second only to the dragons. Ambition and fire flow through their veins, which is why Edelgard von Hresvelg and Daenerys Targaryen wake up in the morning. One won't rest until the fiends who destroyed her family are crushed, and the other seeks to reclaim her ancestral empire.
Both young women possess strong wills and bodies, the kind they need to acquire to survive in a world with little love for them. Even if it means people will hate them forever, their march will not stop. Even if the world burns, they will reforge it anew with their flames.