This is an eczematous eruption,most probably due to contact exposure to an inrritant or allergenic (allergy causing chemical) I would have to know more about your work history and habits to give you a definite solution to our problem. Think about what these two fingers come into contact with and discontinue the exposure. Using soaks of half milk and half water three times a day,followed by treatment with a topical steroid should be helpful. I suggest you think carefully about your history and then consult a dermatologist .

Albert M. Lefkovits