The plan of this work is as follows: Section 2 derives Friedmann
equations from different entropy corrections, considering a
Friedmann–Robertson–Walker (FRW) metric sourced by a perfect
fluid. Section 3 considers the entropy rate enclosed by the apparent
horizon and in which the fluid is in thermal equilibrium
with it. Section 4 extends the analysis by allowing the fluid to be
phantom, for a period, or by allowing the production of particles.
Finally, Section 5 summarizes and discusses our findings.