Does anybody know of an volume based backup solution that can work in an
incremental manner?
I am speaking here of a particular solution, not a general one. In Proxmox VE, backups of VMs can be performed in three modes: stop mode, suspend mode and snapshot mode. They differ by the length of VM downtime and the risk of losing consistency:
https://pve.proxmox.com/wiki/Backup_and_Restore