Corda is really a permission blockchain network or I should not really say it is a Blockchain because I should call it a distributed ledger but there is not a blockchain in Corda.
for instance, there is not a notion of fully ordered transactions that are all hash chained together.
So there is no really a blockchain but is a distributed ledger with consensus.
Corda has been designed specifically considering the requirements of financial services use cases.
So the now bunch of banks have come together to form a consortium called R3 and R3 leads the development of Corda and also the governance around the Corda development itself.
it is specifically designed considering data privacy as a first-class requirement and Corda was open-sourced in November 2016 and has been seeing a good amount of progress in terms of capabilities over the last year and a half.