Why do you deny their existence for? Lol. Bosniaks have at least existed around the same time as the Croats and the Serbs. The reason why the Bosniaks converted to Islam is because unlike the Croats who belong to the Catholic church and your people belong to the Eastern Orthodox church, Bosniaks belonged to their own unique and independent church that was seen as heresy by both the Catholics and the Orthodox Christians, and when the Ottomans invaded Bosnia, the Bosniak Christians felt very betrayed by their own Christian brethren who refused to send help to them and etc which they later converted to Islam because of it.
https://en.wikipedia.org/wiki/Bosnian_Church
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