This article examines the approximate controllability of a class of fractional differential equations with nonlocal conditions in Banach spaces, focusing on fractional orders \(\varvec{q \in (1,2)}\) . We derive explicit and verifiable criteria ensuring the approximate controllability of the associated control system. The analysis combines the framework of resolvent operators, key techniques from fractional calculus, and Krasnosel’skii’s fixed point theorem, assuming that the corresponding linear system already satisfies approximate controllability. The results obtained not only refine but also generalize several existing contributions in the literature. An illustrative example is included to demonstrate the effectiveness and applicability of the proposed theoretical approach.
