Two actinide isotopes, $^{241}$Am and $^{244}$Cm, produced chemically purified by the HFIR/REDC complex at ORNL are candidates for target materials of heavy-ion fusion reaction experiments synthesis new superheavy elements (SHEs) with $Z>118$. In framework dinuclear system model a dynamical potential energy surface (DNS-DyPES model), we systematically study $^{48}$Ca-induced reactions that have...