Parametrizations of dark energy models in the background of general non-canonical scalar field in D-dimensional fractal universe

We have explored non-canonical scalar field model in the background of non-flat D-dimensional fractal Universe on the condition that the matter and scalar field are separately conserved. The potential V, scalar field ϕ, function f, densities, Hubble parameter and deceleration parameter can be expressed in terms of the redshift z and these depend on the equation of state parameter w${}_{\Phi }$. We have also investigated the cosmological analysis of four kinds of well known parametrization models. In graphically, we have analyzed the natures of potential, scalar field, function f, densities, the Hubble parameter and deceleration parameter. As a result, the best fitted values of the unknown parameters (w${}_0$,w${}_1$) of the parametrization models due to the joint data analysis (SNIa+BAO+CMB+Hubble) have been found. Furthermore, the minimum values of χ${}^2$ function have been obtained. Also we have plotted the graphs for different confidence levels 66%, 90% and 99% contours for (w${}_0$, w${}_1$) by fixing the other parameters.