What is the difference between Fajr prayer, Duha prayer, and Subh prayer, and is there a supplication in Fajr prayer like the supplication of Witr prayer?

Fajr prayer and Subh prayer are one and the same prayer, consisting of two audible rak'ahs. Its time extends from the appearance of dawn until sunrise. The Qunoot is prescribed in it by the Shafi'is and Malikis. Its place, according to the Shafi'is, is after rising from the second bowing (ruku'), and according to the Malikis, it is before bowing, basing their argument on the hadith of Anas (may Allah be pleased with him) that the Prophet (peace and blessings of Allah be upon him) "continued to perform Qunoot in the Subh prayer until he departed from this world."

As for the Duha prayer, it consists of two rak'ahs, and it is permissible to increase it to eight rak'ahs. Its time extends from the sun's rise by the length of a spear until just before zawal (midday). It is a highly recommended Sunnah. The Prophet (peace and blessings of Allah be upon him) said about it: "The prayer of the oft-returning (to Allah) is when the young camels feel the heat of the sand."