\begin{document}$ \gamma_{\mathrm{m}} $\end{document}IDE, \begin{document}$ \gamma_{\mathrm{x}} $\end{document}IDE, and ξIDE—using Markov Chain Monte Carlo (MCMC) methods based on 86 localized FRBs and simulated datasets containing 2,500 to 10,000 mock events. By disentangling the contributions to the observed DMs from the Milky Way, host galaxies, and intergalactic medium (IGM), key cosmological parameters are constrained, including the Hubble constant (\begin{document}$ H_{0} $\end{document}), matter density (\begin{document}$ \Omega_{\mathrm{m}} $\end{document}), dark energy equation of state (\begin{document}$ \omega_{\mathrm{x}} $\end{document}), and interaction strengths (\begin{document}$ \gamma_{\mathrm{m}} $\end{document}, \begin{document}$ \gamma_{\mathrm{x}} $\end{document}, ξ). The best-fit values of the \begin{document}$ \gamma_{\mathrm{m}} $\end{document}IDE models indicate a potential alleviation of the cosmic coincidence problem. Subsequently, we utilize information criteria (IC) to conduct a comparative assessment of the three IDE models. When applied to the current sample of observed FRBs, the ξIDE model yields slightly lower IC values than the \begin{document}$ \gamma_{\mathrm{m}} $\end{document}IDE and \begin{document}$ \gamma_{\mathrm{x}} $\end{document}IDE models across all three information criteria, although the differences are not statistically significant. Notably, our study emphasizes the significance of current FRB observations in exploring potential interactions within the dark sector. These results underscore the value of FRB measurements as valuable complementary probes that provide further constraints on alternative cosmological models."> Investigating interacting dark energy models using fast radio burst observations -
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