A　fractional　Fourier-transform　digital　holographic　imaging　method　with　resolution　enhancement　features　is　presented.　In　an　optical　configuration,　an　extended　fractional　Fourier-transform　optical　setup　is　set　in　the　object　arm　of　an　off-axis　digital　holographic　recording　system　to　record　a　fractional　Fourier-transform　hologram　via　the　optical　interference　of　the　fractional　Fourier-transform　wavefront　of　an　object　wave　with　a　reference　wave.　For　reconstruction　imaging,　the　reconstruction　approach　for　fractional　Fourier-transform　holograms　is　given.　In　the　experiment,　the　fractional　Fourier-transform　digital　holograms　are　recorded　under　the　different　recording　parameters,　and　their　amplitude　images　are　effectively　reconstructed.　The　imaging　results　demonstrate　that　the　reconstruction-imaging　resolution　of　fractional-order　Fourier-transform　holograms　is　obviously　enhanced　compared　to　that　of　conventional　image-plane　holograms.　The　presented　fractional　Fourier-transform　digital　holographic　imaging　with　resolution　enhancement　and　optical　configuration　flexibility　provides,　to　our　knowledge,　a　novel　way　for　off-axis　digital　holographic　imaging.　(c)　2024　Optica　Publishing　Group