This paper explores fractional adaptations of Milne-type inequalities using twice-differentiable convex mappings. The authors leverage the principles of convexity, Hölder's inequality, and the power-mean inequality to derive novel inequalities. These inequalities are supported by illustrative examples and rigorous proofs, with graphical representations provided for visual validation. The study builds on existing research in integral inequalities, particularly those involving Riemann-Liouville fractional integrals, and aims to extend the understanding of Milne-type inequalities to twice-differentiable functions. The main results include a lemma that establishes an equality for twice differentiable functions, which is then used to derive new inequalities. The paper provides a comprehensive framework for understanding the interplay between function derivatives and integrals, offering valuable insights into the behavior of functions over closed intervals.This paper explores fractional adaptations of Milne-type inequalities using twice-differentiable convex mappings. The authors leverage the principles of convexity, Hölder's inequality, and the power-mean inequality to derive novel inequalities. These inequalities are supported by illustrative examples and rigorous proofs, with graphical representations provided for visual validation. The study builds on existing research in integral inequalities, particularly those involving Riemann-Liouville fractional integrals, and aims to extend the understanding of Milne-type inequalities to twice-differentiable functions. The main results include a lemma that establishes an equality for twice differentiable functions, which is then used to derive new inequalities. The paper provides a comprehensive framework for understanding the interplay between function derivatives and integrals, offering valuable insights into the behavior of functions over closed intervals.