Swampland Conjectures and Noncommutative Phase Space in the Constant-roll Inflation with Brans-Dicke Cosmology

In this paper, we aim to challenge concepts such as constant-roll inflation, noncommutative parameters \((\theta )\) $(\theta )$ , and Brans-Dicke cosmology. So, we first calculate the Hamiltonian of the modified Brans-Dicke gravitational model in noncommutative space. Using the constant-roll condition, we then calculate analytical solutions for certain cosmological parameters, such as the Hubble parameter and the potential. We also analyze the behavior of noncommutative parameters in the context of Brans-Dicke cosmology and constant-roll conditions. Finally, we investigate the validation of the swampland dS conjecture and present our results in detail.