Thanin SitthiwiratthamMiguel Vivas-CortezMuhammad Aamir AliHŸseyin BudakIbrahim Avci2025-03-102025-03-102024Fractals0218348X10.1142/S0218348X244001642-s2.0-85183563941https://repository.dusit.ac.th//handle/123456789/4505In this work, we prove a parameterized fractional integral identity involving differentiable functions. Then, we use the newly established identity to establish some new parameterized fractional Hermite-Hadamard-Mercer-type inequalities for differentiable function. The main benefit of the newly established inequalities is that these inequalities can be converted into some new Mercer inequalities of midpoint type, trapezoidal type, and Simpson's type for differentiable functions. Finally, we show the validation of the results with the help of some mathematical examples and their graphs. © The Author(s)All Open Access; Hybrid Gold Open AccessJensen-Mercer InequalityMidpoint InequalitiesSimpson's InequalitiesTrapezoidal InequalitiesArticleScopus