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We propose to develop a cosmological model of the universe based on Weyl type$ f(Q) $ gravity which shows the transition from decelerating in the past toacceleration at present by considering a particular functional form of $ f(Q) $gravity as $ f(Q) = ({H_0}^2) (\alpha_1 + \alpha_2 \hskip0.05in log ({H_0^{-2}}Q)) $. We have solved Weyl type $ f(Q) $ gravity field equations numericallyand have obtained numerical solutions to the Hubble and decelerationparameters, distance modulus, and apparent magnitudes of stellar objects likeSNIa Supernovae. We have also obtained numerical solutions for the Weyl vector$ w $, non-metricity scalar $ Q $, and the Lagrangian multiplier $ \lambda $appearing in the action of $ f(Q) $ gravity. We have compared our theoreticalsolutions with the error bar plots of the Observed Hubble data set of $ 77 $points, $ 580 $ distance modulus SNIa data set, and $ 1048 $ supernova Pantheondata sets of apparent magnitudes. It is found that our results fit well withthe observed data set points. \bf{The model envisages a unique feature thatalthough the universe is filled with perfect fluid as dust whose pressure iszero, still the weyl vector dominance f(Q) creates acceleration in it. }

An FLRW accelerating universe model in Weyl type $f(Q)$ gravity and Observational Constraints