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The current paper presents a determination of $K^0_S$ and$\Lambda/\bar{\Lambda}$ fragmentation functions (FFs) from QCD analysis ofsingle-inclusive electron-positron annihilation process (SIA). Our FFsdeterminations are performed at next-to-leading order (NLO), and for the firsttime, at next-to-next-to-leading order (NNLO) accuracy in perturbative QuantumChromodynamics (pQCD) which is designated as {\tt SAK20} FFs. Each of these FFsis accompanied by their uncertainties which are determined using the `Hessian'method. Considering the hadron mass corrections, we clearly investigate thereliability of our results upon the inclusion of higher-order QCD correction.We provide comparisons of {\tt SAK20} FFs set with the available analysis fromanother group, finding in general a reasonable agreement, and also considerabledifferences. In order to judge the fit quality, our theoretical predictions arecompared with the analyzed SIA datasets. {\tt SAK20} FFs at NLO and NNLOaccuracy along with their uncertainties are made available in the standard {\ttLHAPDF} format in order to use for predictions of present and futuremeasurements in high-energy collisions such as LHC and RHIC.

First NNLO fragmentation functions of $K_S^0$ and $\Lambda/\bar{\Lambda}$ and their uncertainties in the presence of hadron mass corrections