<abstract><p>In 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 Pečarić and Vuković ^{[<xref ref-type="bibr" rid="b1">1</xref>]}. Furthermore, using the specific cases of the $ \psi $-Hilfer fractional derivative, we proceed with wide class of fractional derivatives by selecting $ \psi $, $ a_1 $, $ b_1 $ and considering the limit of the parameters $ \alpha $ and $ \beta $.</p></abstract>