The credit card processors and banks actually do not require a physical address. All you need to charge a credit card is the cart number, and you need to provide an expiration date that is in the future.
You can provide a zip code, or a full address, or the card security code, or a name, and those will be checked and you will be told if they match the information on file with the card issuer, but it is up to you whether or not mismatches should block the transaction.
Transactions with mismatches generally have a higher risk of being fraudulent, so it is a good idea to not go through with transactions when the data doesn't match because if you put through too many fraudulent charges bad things can happen to you, ranging from higher fees to having your ability to accept cards revoked.
You can provide a zip code, or a full address, or the card security code, or a name, and those will be checked and you will be told if they match the information on file with the card issuer, but it is up to you whether or not mismatches should block the transaction.
Transactions with mismatches generally have a higher risk of being fraudulent, so it is a good idea to not go through with transactions when the data doesn't match because if you put through too many fraudulent charges bad things can happen to you, ranging from higher fees to having your ability to accept cards revoked.