In the circumstances explained, you'll have mostly no option but to serve the full 3 months notice period. However if your terms & conditions of appointment provide for 'buying' of notice period i.e. the rest of the unserved NP of 45 days period, then you'll have chance of raising this option. And reg.'performance incentive' it's possible to get proportionate incentive for the period you served/becoming eligible for the same. That apart, how about joining the other employer with whom you are trying to join after this resignation by 28th March 2019. Talk them to gain extension of joining time to solve the issue.
12th February 2019 From India, Bangalore