  Let $X$ be a toric Calabi-Yau 3-fold and let $L\subset X$ be an Aganagic-Vafa
outer brane. We prove two versions of open WDVV equations for the open
Gromov-Witten theory of $(X,L)$. The first version of the open WDVV equation
leads to the construction of a semi-simple (formal) Frobenius manifold and the
second version leads to the construction of a flat (formal) $F$-manifold.
