Amir SharifSP19-RMT-039LHR TP 6485Dr. Shamaila Rani2026-03-122021https://repository.cuilahore.edu.pk/handle/123456789/2727In the framework of dynamical Chern-Simons theory of gravity, we study the recent cosmic expansion with acceleration of the universe. We take in teracting scenario of dark energy and dark matter with three cutoffs like Granda-Oliveros, higher order derivative of Hubble parameter and gener alized holographic dark energy model. In the flat Friedmann-Robertson Walker universe, well-known cosmological parameters have been calculated. We study the perturbation of matter density growth, growth factor and growth index behavior for the underlying framework. The cosmological pa rameters like equation of state parameter, deceleration parameter, fractional generalized holographic dark energy density and stability of each model are discussed. The outcomes of these models represent the cosmic expansion of the universe with accelerationenDr. Shamaila Ranisp19Department of MathematicsMathematicsGrowth of Matter IndexCosmic AccelerationThesis