In fact, there should not be any mismatch between your Hall ticket and the name appearing in your Matriculation certificate. This should be rectified at the earliest. You may approach the first class Magistrate along with attested photo copies of your Matriculation - certificate, Aadhar - card, Voter ID card in support of proof of your name appearing in the Matriculation - certificate.
On the basis of those proofs, you would get an affidavit from the side of the Magistrate. You may send as notification in the leading News - papers for its wide publicity. Hope, you can address your issue in the ways as suggested above.