Baleanu, DumitruBasci, Yasemin2024-01-172025-09-182024-01-172025-09-182023Başcı, Y.; Baleanu, D. (2023). "On Hilbert-Pachpatte type inequalities within ψ-Hilfer fractional generalized derivatives", AIMS Mathematics, Vol.8, No.6, pp.14008-14026.2473-6988https://doi.org/10.3934/math.2023716https://hdl.handle.net/20.500.12416/11769In 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 Inequality-Hilfer Fractional DerivativeRiemann-Liouville DerivativeHomogeneous KernelFractional DerivativeArticle10.3934/math.20237162-s2.0-85152391305