It shares the same spiritual chain as the Khalwati order and thus there are many similarities between them. The two orders split however with Sheikh Zahed Gilani, where the Jelveti order then goes on to Hajji Bayram and Aziz Mahmud Hudayi.
Aziz Mahmud Hudayi was amongst the most famous of all Ottoman Sufi's being the Sheikh of Sultan Ahmed I who constructed the famous Blue Mosque. Aziz Mahmud Hudayi read the first Friday prayer in this Mosque on its opening.
Amongst the most famous of Jelveti Sheikhs are Ismail Hakki Bursevi of Bursa and Sheikh Musafa Devati.