Bouncing theory in the modified Weyl gravity and its stability conditions

In this paper, we demonstrate the analytical functions of a chameleon scalar field adjust the stability conditions of the standard Weyl gravity model. The suitable conditions of a successful bounce are obtained when the equation of state (EoS) parameter, crosses over the phantom divider. The accelerated expansion of the universe is considered by using the conditions and coordinates of a Friedmann-Robertson-Walker (FRW) universe and the Holographic Dark Energy (HDE) model. The stability conditions of the resulting model are then considered.