Bitcoin core API for address I installed bitcoin core and now it is completely synced. I am not able to find REST Api for a particular address.
I want to run my server so can i am able to make an http request for REST API
You need to enable REST by setting rest=1 in your bitcoin.conf or startup bitcoind with -rest=1 or bitcoin-qt with -server=1 and -rest=1.

You can access REST by curl (example):
curl localhost:18332/rest/getutxos/checkmempool/b2cdfd7b89def827ff8af7cd9bff7627ff72e5e8b0f71210f92ea7a4000c5d75-0.json

A simple documentation is available here: https://github.com/bitcoin/bitcoin/blob/master/doc/REST-interface.md

EDIT:
There is no REST API for addresses. Bitcoin-Core does not have an per-address index.
If you enable -txindex=1, you can retrieve any transaction with GET /rest/tx/&lt;TX-HASH&gt;.&lt;bin|hex|json&gt; (otherwise only transactions in the mempool).