“…The traces of this primordial fluctuations are observed in the cosmic microwave background (CMB) which spreads freely in the universe. Hence, testing the inflation scenarios are made by measuring CMB anisotropies and by calculating useful two parameters coming from the two types of perturbations [6] which are related to metric perturbations: as mentioned above, the first is the scalar (curvaa e-mails: alikeskin039@gmail.com; a.ihsankeskin@sirnak.edu.tr ture) perturbations, P R , take on a task as producing the seeds which form the present universe, and the second is the tensor perturbations, P T , which are dubbed as gravitational waves of the early-universe. In the literature, under the slow-roll condition 1 it was developed many different inflation scenarios such as the chaotic inflation [7], the quintessential inflation [8], k-inflation [9], the Brane inflation [10,11], the warm inflation [12][13][14], the intermediate inflation [15], the super inflation [16] and so on.…”