<p>This article addresses the existence and time optimal control results for a class of Hilfer fractional neutral inclusions in Banach spaces. The main objectives are achieved by using multivalued map analysis, fractional calculus, and the fixed-point techniques. The initial focus is on establishing the existence of mild solution for the given system through the applicability of Bohnenblust–Karlin’s fixed-point theorem. Subsequently, a set of sufficient conditions are provided to analyze the time optimal control of the system. Moreover, an example is presented to validate the theoretical results and demonstrate the applicability of the proposed framework.</p>