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We derive a Cardy-Verlinde-like formula which relates the entropy of theclosed FRW universe to its energy, and Casimir energy, for a multicomponentcoupled fluid. The generalized fluid obeys an inhomogeneous equation of state.A viscous dark fluid is included, and we include also modified gravity usingits fluid representation. It is demonstrated how such an expression reduces tothe standard Cardy-Verlinde formula corresponding to the 2d CFT entropy only insome special cases. The dynamical entropy bound for a closed FRW universe withdark components is obtained. The universality of the dynamical entropy boundnear a future singularity (of all four types), as well as near the Big Bangsingularity, is investigated. It is demonstrated that except from some specialcases of Type II and Type IV singularities the dynamical entropy bound isviolated near the singularity even if quantum effects are taken into account.The dynamical entropy bound seems to be universal for the case of a regularuniverse, including the asymptotic de Sitter one.

Cardy-Verlinde formula in FRW Universe with inhomogeneous generalized fluid and dynamical entropy bounds near the future singularity