Hello and welcome to healthcaremagic.
You seems to suffer from localized psoriasis,affecting the fingers.
Psoriasis is an inflammatory skin disease characterised by well defined erythematous scaly plaques with silvery white or candle wax type of scaling. Chronic
plaque psoriasis is the most common type. It can affect sites like scalp, arms, and legs, (specifically elbows and knees), palms and soles etc Other types of psoriasis are:
Erythrodermic psoriasis,
Pustular psoriasis (generalised and localised), Nail psoriasis and
Scalp psoriasis.
The disease has a chronic course and there topical creams/ointments/gels/lotions etc as well as oral and injectable medicines which can treat psoriasis but there is no permanent cure for psoriasis.
Moisturizers specially those which contain hygroscopic (attract water from the atmosphere and lock it into the skin) and keratoloytic agents like Ammonium lactate(Amylac cream), Urea, Lactic acid etc are especially useful in dry scaly conditions like psoriasis.
For the patches you could use a steroid+
salicylic acid ointment, twice daily (clobetasol+3% OR 6% salicylic acid in an ointment base e.g propysalic) over and above the moisturizer for 4 weeks.
Other treatment modalities which can be used for localized plaque psoriasis are: Vit D analogues like calcipotriol, calcipotriene alone or in combination with steroid.
regards