Observational constraints and dynamical analysis of Kaniadakis horizon-entropy cosmology

We study the scenario of Kanadiakis horizon entropy cosmology which arises from application gravity-thermodynamics conjecture using Kaniadakis modified entropy. The resulting Friedmann equations contain extra terms that constitute an effective dark energy sector. use data Cosmic chronometers, Supernova Type Ia, HII galaxies, Strong lensing systems, and Baryon acoustic oscillations observations we apply a Bayesian Markov Chain Monte Carlo analysis to construct likelihood contours for model parameters. find parameter is constrained around 0, namely, value where standard Bekenstein-Hawking recovered. Concerning normalized Hubble parameter, $h=0.708^{+0.012}_{-0.011}$, result independently verified by applying $\mathbf{\mathbb{H}}0(z)$ diagnostic and, thus, conclude at hand can alleviate $H_0$ tension problem. Regarding transition redshift, reconstruction cosmographic parameters gives $z_T=0.715^{+0.042}_{-0.041}$. Furthermore, AICc, BIC DIC information criteria in most datasets statistical equivalent $\Lambda$CDM one. Moreover, examine Big Bang Nucleosynthesis (BBN) show satisfies corresponding requirements. Additionally, perform phase-space analysis, Universe past attractor matter-dominated epoch, while late times results dark-energy-dominated solution. Finally, accepts heteroclinic sequences, but it cannot exhibit bounce turnaround solutions.