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We discuss the brane cosmology in the 5D anti de Sitter Reissner-Nordstrom(AdSRN$_5$) spacetime. A brane with the tension $\sigma$ is defined as the edgeof an AdSRN$_5$ space with mass $M$ and charge $Q$. In this case we get theCFT-radiation term $(\rho_{CFT})$ from $M$ and the charged dust$(-\rho^2_{cd})$ from $Q^2$ in the Friedmann-like equation.  However, this equation is not justified because it contains$\rho_{cd}^2$-term with the negative sign. This is unconventional in view ofthe standard cosmology. In order to resolve this problem, we introduce alocalized dust matter which satisfies $P_{dm}=0$. If $\rho_{dm}=\fr{\sqrt3}{2}\rho_{cd}$, the unwanted $-\rho_{cd}^2$ is cancelled against $\rho_{dm}^2$and thus one recovers a standard Friedmann-Robertson-Walker universe withCFT-radiation and dust matter. For the stiff matter consideration, we can set$\rho_{csti}\sim Q^2$ with the negative sign. Here we introduce a masslessscalar which plays the role of a stiff matter with $P_{sca}=\rho_{sca}$ tocancel $-\rho_{csti}$. In this case, however, we find a mixed version of thestandard and brane cosmologies.Comment: 8 pages, Latex, version to appear in MPL

STANDARD COSMOLOGY FROM THE BRANE COSMOLOGY WITH A LOCALIZED MATTER