Abstract
In this work, we study the inflationary cosmology in modified gravity theory [Formula: see text] ([Formula: see text] is the modified gravity parameter) with three distinct classes of inflation potentials (i) [Formula: see text], (ii) [Formula: see text] and (iii) [Formula: see text] where [Formula: see text], [Formula: see text] are the potential parameters. We have derived the Einstein equation, potential slow-roll parameters, the scalar spectral index [Formula: see text], tensor-to-scalar ratio r and tensor spectral index [Formula: see text] in modified gravity theory. We obtain the range of [Formula: see text] using the spectral index constraints in the parameter space of the potentials. Comparing our results with PLANCK 2018 data and WMAP data, we found out the modified gravity parameter [Formula: see text] lies between [Formula: see text].
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