Summary: We discuss the brane cosmology in the 5D anti de Sitter Reissner–Nordstrom (AdSRN\(_5\)) space–time. A brane with tension \(\sigma\) is defined as the edge of an AdSRN\(_5\) space with mass \(M\) and charge \(Q\). In this case we get the CFT-radiation term (\(\rho_{\text{CFT}})\) 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 \((-\rho^2_{cd}\)-term with the negative sign. This is unconventional in view of the standard cosmology. In order to resolve this problem, we introduce a localized dust matter which satisfies \(P_{dm} = 0\). If \(\rho_{dm} = {{\sqrt{3}}\over{2}}\rho_{cd}\), the unwanted \(-\rho^2_{cd}\) is cancelled against and thus one recovers a standard Friedmann–Robertson–Walker universe with CFT-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 massless scalar which plays the role of a stiff matter with \(P_{sca} = \rho_{sca}\) to cancel \(-\rho_{csti}\). In this case, however, we find a mixed version of the standard and brane cosmologies.