Başçı, YaseminBaleanu, Dumitru2024-07-102024-07-102023Başcı, Y., & Baleanu, D. (2023). On Hilbert-Pachpatte type inequalities within ψ-Hilfer fractional generalized derivatives.2473-6988http://dx.doi.org/10.3934/math.2023716https://hdl.handle.net/20.500.12491/12250In this manuscript, we discussed various new Hilbert-Pachpatte type inequalities implying the left sided psi-Hilfer fractional derivatives with the general kernel. Our results are a generalization of the inequalities of Pecaric ' and Vukovic ' [1]. Furthermore, using the specific cases of the psi-Hilfer fractional derivative, we proceed with wide class of fractional derivatives by selecting psi, a1, b1 and considering the limit of the parameters alpha and beta.eninfo:eu-repo/semantics/openAccessHilbert-Pachpatte Type InequalityHilfer Fractional DerivativeRiemann-Liouville DerivativeHomogeneous KernelFractional DerivativeArticle10.3934/math.20237168614008140262-s2.0-85152391305Q2WOS:000975671700002Q1