What seems to be residual of smoke from the heatsink is in fact dust from a powerful fan which sits beside the board blowing in.
OK
I can find 1R5 inductors (Inductance 1.5 μH), but theres many variations such as the Amps and Resistance (Ohms).
A little difficult without knowing what current is usually flowing through that part of the circuit
The significant thing is, it's a 99.999999% probability that those inductors just die on their own, it pretty much doesn't happen
This means that something to the right of it failed and is drawing excess current
what are the components I have arrowed ... list what is written on them
there seems to be a mirror of components to the left and right of a centre line of that larger central chip I have labelled A
I'm picking that the 2 squarish chips immediately to the right of the left inductor and to the left of the right inductor are probably some sort of switching regulator
one or more may be cooked .... do you have SMD IC removal and replacement skills ? .... you are going to need them
Dave