EXPLORING CONFORMABLE FRACTIONAL INTEGRAL INEQUALITIES: A MULTI-PARAMETER APPROACH

In this paper, we conduct a comprehensive investigation into conformable fractional integral inequalities, introducing a novel multi-parameter integral identity as a foundational tool for deriving significant results related to the Newton–Cotes formulas for one, two, and three points. These formulas are explored within the contexts of both conformable fractional integrals and Riemann–Liouville fractional integrals. Among the findings, this study provides new results, including refinements of several previously established results, thereby enhancing the existing body of knowledge. Numerical examples and graphical illustrations are provided to demonstrate the accuracy and effectiveness of the derived outcomes. This work offers fresh insights into the role of fractional integrals in numerical analysis, with potential applications across various scientific disciplines.