Cosmological evolutionary model for time-varying deceleration parameter in f(R, T) gravity

In this research, we studied a time-varying deceleration parameter in the context of the f(R, T) theory of gravity. The exact solution of  the  field equations is obtained by a time-variable deceleration parameter in the order of nth\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$n^{th}$$\end{document} which is covered by Berman’s law :q as a constant. For n=1\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$n =1$$\end{document} covers cosmological models with linearly varying deceleration parameter which are given by Akarsu and Dereli. Here, the behaviour of the cosmological model for n=2\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$n=2$$\end{document} is going to be extended and the physical, geometrical and dynamical properties of the model discussed.