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Table 2 Historical development of almost automorphy

From: Weighted Stepanov-like pseudo-almost automorphic mild solutions for semilinear fractional differential equations

Function Original reference
Almost automorphic (AA) Bochner [23]
Asymptotic almost automorphic (AAA) N’Guérékata [27]
Pseudo almost automorphic (PAA) Xiao et al. [28]
Weighted pseudo-almost automorphic (WPAA) Blot [29]
Stepanov-like almost automorphic (\(S^{p}\)AA) Casarino [30]
Stepanov-like pseudo-almost automorphic (\(S^{p}\)PAA) Diagana [31]
Weighted Stepanov-like pseudo-almost automorphic (\(S^{p}\)WPAA) Xia and Fan [32]