A case study of small field inflationary dynamics in the Einstein–Gauss–Bonnet framework in the light of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline" id="d1e1469" altimg="si2.svg"><mml:mrow><mml:mi>G</mml:mi><mml:mi>W</mml:mi><mml:mn>170817</mml:mn></mml:mrow></mml:math>

We study two of the most theoretically promising models inflation, namely Natural inflation and Mutated Hilltop in Einstein–Gauss Bonnet (EGB) gravity framework. In this work, we try to explore these keeping observations from GW170817 on speed gravitational wave be equal light. This has direct implications non-minimal coupling Gauss–Bonnet invariant action. Thus, effective potential gets new features. have not only analysed inflationary dynamics, but also reheating dynamics finally corresponding energy spectrum wave.