In this paper, we introduce and check some properties of mixed $C_{0}-$ group of bounded linear operators on non-Archimedean Banach spaces. Our main result extends theorems for mixed $C_{0}-$groups of bounded linear operators on non-Archimedean Banach spaces. In contrast with the classical setting, the parameter of mixed $C_{0}-$groups belongs to a clopen ball $\Omega_{r}$ of the ground field $\mathbb{K}.$ As an illustration, we will discuss the solvability of some inhomogeneous $p$-adic differential equations for mixed $C_{0}-$groups when $\alpha=-1.$ Examples are given to support our work.