Qayyum, AtherBudak, H¨UseyinBat, UmutKara, HasanMunir, ArslanRathour, Laxmi2025-10-112025-10-1120252219-5688https://hdl.handle.net/20.500.12684/21435Fractional inequalities have been an essential topic in mathematics and have found applications in various domains. In this article, we established some new bounds (below and above) for mid-point type inequality and trapezoidal-type inequality for ψ-Hilfer- fractional integral by utilizing functions whose second derivatives are bounded. We also investigate some new generalization and extension of Hermite-Hadamard type inequalities for ψ-Hilfer fractional integrals for the functions having the condition: (Formula presented). © 2025 Elsevier B.V., All rights reserved.eninfo:eu-repo/semantics/closedAccessConvexityHermite-hadamard InequalityΨ-hilfer Fractional IntegralArticle1415785862-s2.0-105003586672Q4