This paper presents a one-parameter fractional multiplicative integral identity and uses it to derive a set of inequalities for multiplicatively s-convex mappings. These inequalities include new discoveries and improvements upon some well-known results. The paper also provides an illustrative example with graphical representations and applications to special means of real numbers within the domain of multiplicative calculus. Multiplicative calculus, introduced by Grosman and Katz in 1967, is a novel approach to classical calculus, particularly useful for positive functions. It has found applications in various fields such as finance, biology, and physics. Convexity is a fundamental mathematical concept with wide applications. In particular, multiplicative convexity, also known as logarithmic convexity, is a key concept in multiplicative calculus. The paper introduces a parameterized identity integral for multiplicative differentiable functions and derives three-point Newton-Cotes-type inequalities for multiplicative s-convex functions. It also provides practical applications that illustrate the usefulness and significance of the results. The paper reviews fundamental concepts of multiplicative calculus, including multiplicative derivatives and integrals, and presents several theorems and lemmas related to these concepts. The main results include a parameterized identity for multiplicative integrals and inequalities for multiplicatively s-convex functions. The paper also discusses various extensions and variations of convexity and their applications in multiplicative calculus.This paper presents a one-parameter fractional multiplicative integral identity and uses it to derive a set of inequalities for multiplicatively s-convex mappings. These inequalities include new discoveries and improvements upon some well-known results. The paper also provides an illustrative example with graphical representations and applications to special means of real numbers within the domain of multiplicative calculus. Multiplicative calculus, introduced by Grosman and Katz in 1967, is a novel approach to classical calculus, particularly useful for positive functions. It has found applications in various fields such as finance, biology, and physics. Convexity is a fundamental mathematical concept with wide applications. In particular, multiplicative convexity, also known as logarithmic convexity, is a key concept in multiplicative calculus. The paper introduces a parameterized identity integral for multiplicative differentiable functions and derives three-point Newton-Cotes-type inequalities for multiplicative s-convex functions. It also provides practical applications that illustrate the usefulness and significance of the results. The paper reviews fundamental concepts of multiplicative calculus, including multiplicative derivatives and integrals, and presents several theorems and lemmas related to these concepts. The main results include a parameterized identity for multiplicative integrals and inequalities for multiplicatively s-convex functions. The paper also discusses various extensions and variations of convexity and their applications in multiplicative calculus.