Hey there! My name is Ashley and I was born missing my right arm! How can I strengthen my right side? Any suggestions? (:
I was a little confused by your pictures too. Then I realized they are both taken in a mirror and the camera is in your left hand.
I am assuming that you are not missing your entire arm, but you are missing your hand and part of your forearm. You don't have the ability to grab any dumbbells or bars which is the challenge you face.
I applaud you for wanting to work through it.
Working upper body is all about push/pull with different arm angles.
With that in mind, have you tried making a strap that can hook over your arm and attach the other end to a weight or cable? You could do curls, shoulder presses, flys, chest presses, rowing. Dozens of others if you get creative. Or, you can have a good friend or family member hold your arm to give resistance as you do the exercise. You could do pushups with a padded spacer that makes up the lenght difference in your arms. Try them from your knees if there is too much pressure.