  A new ''$\mathtt{SK24}$'' non-singlet QCD analysis of the structure functions
at the NNLO approximation is performed, utilizing the global fit of the data
from various charged lepton scattering experiments. We extract the valence
parton distribution functions (PDFs) and provide a parametrization of them,
along with the correlated errors for a wide range of $x$ and $Q^2$. We compare
valence PDFs and their uncertainties with those from different PDF sets
provided by various groups. We also obtain valence PDFs and the strong coupling
constant $\alpha_{s}(M_Z^2)$, taking into account the nuclear correction
concerning large $x$ as well as the target mass correction (TMC) and higher
twist (HT) effects at the NNLO. In the large $x$ region, we extract the higher
twist contributions of $xF_3(x,Q^2)$, $F_2^p (x,Q^2)$, and $F_2^d(x,Q^2)$. We
determine $\alpha_{s}(M_Z^2)$ without and with considering the TMC and HT
corrections and perform a comparison with the world average of
$\alpha_{s}(M_Z^2)$ and other reported results. The extracted results
concerning valence PDFs with their uncertainties and $\alpha_{s}(M_Z^2)$ value
agree with available theoretical models.
