Atopic dermatitis is an inflammatory, relapsing, non-contagious and
itchy skin disorder which is characterized by dry and scaly
skin which may weep, crack, swell, and crust over. Psoriasis is a long-term (chronic) skin problem that causes skin cells to grow too quickly, resulting in thick, white, silvery, or red patches of skin which are non itchy and non contagious.
To confirm the diagnosis, I suggest you to get it examined from a dermatologist and get a biopsy skin done.