Cosmological evolution via interacting/non-interacting holographic dark energy model for curved FLRW space–time in Rastall gravity

In this work, we explore the phenomenon of cosmic evolution using curved FLRW space–time bounded by apparent horizon with a specific holographic cut-off. To end, use framework Rastall gravity (RG) and universe is assumed to be consists interacting/ non-interacting dark energy (DE) matter (DM). both scenarios, evaluate exact solutions dynamical equations constraint parameter c2(z) assuming slowly varying function red-shift during model. For interacting model, consider c2 as constant red-shift. Moreover, analyze nature obtained results via deceleration (q), statefinder pair (j,s) Om(z)-diagnostic constraining involved model parameters latest observational data. The graphical analysis showed that very close ? cold DM (?CDM) compared case. We conclude proposal enough describe at an accelerating rate.