Is it permissible for a woman who suffers from frequent gas expulsion and urinary incontinence to perform ablution for each prayer after its time has begun and pray in her condition, taking into consideration her suffering from gas and urine leakage during ablution and prayer?

If the emission of wind or urine is continuous without interruption, or if it stops intermittently in an uncontrolled manner, then your ruling is that of a person afflicted with سلس ( سلس البول/الريح: urinary/wind incontinence). You should perform ablution for each prayer after its time has begun and then pray the obligatory and supererogatory prayers. Your ablution will not be nullified except by the expiration of the prayer time or by the occurrence of another nullifier besides the permanent emission, while also taking precautions to prevent the spread of impurity.