The equivalent of apt or apt-get in Alpine is apk
A typical Dockerfile will contain, for example:
RUN apk add --no-cache wget
--no-cacheis the equivalent to:
apk add wget && rm -rf /var/cache/apk/*
or, before the –no-cache option was available:
RUN apk update && apk add wget
Alpine rm -rf /var/cache/apk/* has the Debian equivalent rm -rf /var/lib/apt/lists/*.
See the Alpine comparison with other distros for more details.