How to install Debian packages on alpine.
wget https://dl.influxdata.com/influxdb/releases/influxdb_0.13.0_armhf.deb sudo dpkg -i infuxdb_0.13.0_armhf.deb
Alpine Linux is not a Debian derivation (fortunately), so it does not support Debian packages.
Alpine does not provide a package for infuxdb (yet), so you can create it or install it from the infuxdb source list.