Istanbul to Dubai is about 1,640 nautical miles and roughly four and a half hours non-stop, within range of a midsize aircraft and everything above it. It is also the leg most often flown as a technical stop on longer European–Gulf routings, which means aircraft are frequently positioned at one end or the other.
Private jet charter from Istanbul to Dubai starts from $25,500 on the smallest suitable aircraft. That is an indicative starting price, not a quote: the figure for your trip depends on which aircraft are available, where they are positioned and the date you fly.