“…In particular, Ren et al [33] have proved that there is no nontrivial periodic solution for a class of fractional evolution equations with the Caputo fractional derivative with lower limit at 0. Therefore, since Henríquez et al [20] first studied the S-asymptotic periodic function in Banach space, many scholars have begun to pay attention to the S-asymptotic periodic solution of the fractional evolution equation( such as [12,24,27,31,33]). In particular, in recent years, we have also considered a class of S-asymptotically periodic problems for fractional evolution equations in [24], and obtained some existence results and global asymptotic behavior of S-asymptotically periodic mild solution.…”