ABAQUS/Explicit will allow you to account for the time variation of the load, but I don't believe that there is a specific fatigue analysis type in ABAQUS.
If you have some S-n info (stress vs cycles to failure) for your material, you can make an educated guess as to the likely fatigue life of a part. Look in "Mechanical Engineering Design" by Shigley - there's quite a good chapter on designing for fatigue life.