Nonlinear mixed Jordan triple $*$-derivations on $*$-algebras

Let $\mathcal{A}$ be a unital $\ast$-algebra containing a nontrivial projection. Under some mild conditions on $\mathcal{A}$, it is shown that a map $\Phi: \mathcal{A}\rightarrow \mathcal{A}$ is a nonlinear mixed Jordan triple $*$-derivation if and only if $\Phi$ is an additive $*$-derivation. In particular, we apply the above result to prime $\ast$-algebras, von Neumann algebras with no central summands of type $I_1$, factor von Neumann algebras, and standard operator algebras.