In this paper, we investigate the existence, uniqueness, and stability results of second-order neutral evolution differential equations within the framework of sequential conformable derivatives with nonlocal conditions. Utilizing Krasnoselskii's fixed-point theorem, we establish results concerning the existence of at least one solution, while the uniqueness of the solution is derived using Banach's fixed-point theorem. The final section is devoted to an example that illustrates the applicability of our findings.