Self-consistent Hubble expansion in exponential teleparallel gravity: confrontation with recent observations

We reconstruct the Hubble expansion history in exponential teleparallel gravity using recent cosmological observations, including Observational Hubble Data (OHD), the Dark Energy Spectroscopic Instrument Data Release 2 (DESI DR2) baryon acoustic oscillation (BAO) measurements, gravitational-wave (GW) standard-siren data, and the Pantheon Plus and SH0ES Type Ia supernova compilations. We explicitly demonstrate that exponential teleparallel gravity can be consistent with current cosmological observations through statistical analyses based on the reduced $\chi^2$, Akaike Information Criterion (AIC), and Bayesian Information Criterion (BIC). In addition, we show that the present model of exponential teleparallel gravity can be viable cosmologically by analysing the dynamical evolution, stability conditions, and linear matter perturbations.