Welcome and thanks for posting your query to HealthcareMagic.
After reading the query there are two possibilities of the problem:
1. Contact dermatitis: this can be due to anything which is in contact with only right hand. This can be by mouse or anything which is touching the right hand only.
2. Fungal infection
of the right hand: It is also a common cause of only one sided peeling of skin. If the peeling is involving the web spaces and the nails then there is higher possibility of this condition.
Even then it is better to consult a dermatologist
for best possibility.
In between you do warm water compresses on your hand for at least two times a day. You should keep a close watch on any thing which is coming in contact with right hand only.You should apply simple white petroleum gelly rather than any other cream for at least 6-7 times day.
Hope these informations will help.
With good health wishes"
Dr Sanjay Kumar Kanodia