Enterprise blockchains are usually restricted to a consortium of companies or organizations--they are not open to everyone as are regular blockchains.
Enterprise blockchains usually do not use digital currency (bitcoin, for example). There are no miners to pay. Everyone is free to add to the blockchain (because the set of users are restricted). Yes, R3's Corda and the group of Hyperledger blockchain platforms (there are multiple independent Hypeerledger blockchain technologies) are enterprise blockchains.
Some people argue that an Enterprise blockchain is not really a blockchain in that it is restricted, has no digital currency, and no miners. But it still has a chain of blocks.
Sometimes a more general term "Digital Ledger Technology" (DLT) is used in lieu of "blockchain" to avoid arguments over what is a true blockchain.