An Azure service for ingesting, preparing, and transforming data at scale.
In order to access your On prem database from ADF, you would need to use a Self hosted IR.
For that you need to have a server within your on prem network which is able to communicate with the On prem SQL server and install the Integration run time within that server which would act as a bridge between the On Prem database and ADF.
Assuming you just want to read the data from the on Prem SQL database, you can either create a SQL account with just read only access on the On Prem database and leverage SQL authentication or use a service account with read only access on the database and use windows auth (no need of admin/owner access)