Q. Do women have the minhag of eating fruits on Tu Bishvat as men do (after all it is time dependent)?
A. Nitei Gavriel (Purim 4: 11) quotes Darchei chaim Vesholom (831) and others, that women follow this minhag similarly to their spouses. Minhagim and traditions may not be necessarily be correlated with mitzvos that depend on time.
Horav Shlomo Miller’s Shlit’a opinion is similar.
Rabbi A. Bartfeld as revised by Horav Shlomo Miller Shlit’a