Multiplicative fractional integral inequalities for multiplicative s-convex functions: A multi-parameter approach

Within the multiplicative Riemann-Liouville (RL) fractional framework, we develop multi-parameter inequalities for multiplicatively differentiable s-convex positive functions. Using a multi-parameter multiplicative fractional integral identity, we establish several inequalities under the conditions: (i)* Ψ exhibits multiplicative s-convexity, and (ii) (ln* Ψq) maintains s-convexity (q > 1). Numerical examples and graphical visualizations verify the proposed inequalities.