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We study some aspects of cosmological evolution in a universe described by aviable curvature corrected exponential $F(R)$ gravity model, in the presence ofmatter fluids consisting of collisional matter and radiation. Particularly, weexpress the Friedmann-Robertson-Walker equations of motion in terms ofparameters that are appropriate for describing the dark energy oscillations andcompare the dark energy density and the dark energy equation of state parametercorresponding to collisional and non-collisional matter. In addition to these,and owing to the fact that the cosmological evolution of collisional andnon-collisional matter universes, when quantified in terms of the Hubbleparameter and the effective equation of states parameters, is very much alike,we further scrutinize the cosmological evolution study by extending theanalysis to the study of matter perturbations in the matter domination era. Wequantify this analysis in terms of the growth factor of matter perturbations,in which case the resulting picture of the cosmological evolution is clear,since collisional and non-collisional universes can be clearly distinguished.Interestingly enough, since it is known that the oscillations of the effectiveequation of state parameter around the phantom divide are undesirable andunwanted in $F(R)$ gravities, when these are considered for redshifts near thematter domination era and before, in the curvature corrected exponential modelwith collisional matter which we study here there exist oscillations that nevercross the phantom divide. Therefore, this rather unwanted feature of theeffective equation of state parameter is also absent in the collisional matterfilled universe.

Dark Energy and Equation of State Oscillations with Collisional Matter Fluid in Exponential Modified Gravity