Table 1 Recent development of almost automorphy

Pseudo almost automorphic (PAA)

Xiao et al. [9, 10]

Stepanov-like almost automorphic (\(S^{p}AA\))

N’Guérékata and Pankov [11]

Weighted pseudo almost automorphic (WPAA)

Blot et al. [12]

Stepanov-like pseudo almost automorphic (\(S^{p}PAA\))

Diagana [13]

Weighted Stepanov-like pseudo almost automorphic (\(S^{p}WPAA\))

Xia and Fan [14]