What is the ruling on the prayer of one who suffers from excessive flatulence and finds it difficult to maintain their ablution for the duration of the prayer?

What you are experiencing may be merely an illusion or a whisper (waswas); therefore, disregard it and do not interrupt your prayer unless you have absolute certainty that something has exited. If you are certain that wind has exited and this occurs repeatedly, such that you do not find time for purification, then your ruling is that of one afflicted with chronic discharge (sahib al-salas): you perform ablution after the time for prayer begins and then pray. If you find sufficient time for purification, you must pray within that time. If your ablution is invalidated during Tarawih prayer or the Friday sermon, then renew it. We also advise you to seek medical treatment.