In this study, the characteristics of heat transfer on an unsteady magnetohydrodynamic (MHD) Casson nanofluid over an exponentially accelerated vertical porous plate with rotating effects were investigated. The flow was driven by the combined effects of the magnetic field, heat radiation, heat source/sink and chemical reaction. Copper oxide (CuO) and titanium oxide (TiO2) are acknowledged as nanoparticle materials. The nondimensional governing equations were subjected to the Laplace transformation technique to derive closed-form solutions. Graphical representations are provided to analyze how changes in physical parameters, such as the magnetic field, heat radiation, heat source/sink and chemical reaction, affect the velocity, temperature and concentration profiles. The computed values of skin friction, heat and mass transfer rates at the surface were tabulated for various sets of input parameters. It is perceived that there is a drop in temperature due to the rise in the heat source/sink and the Prandtl number. It should be noted that a boost in the thermal radiation parameter prompts an increase in temperature. An increase in the Prandtl number, heat source/sink parameter, time and a decrease in the thermal radiation parameter result in an increase in theNusselt number. The computed values of the skin friction, heat andmass transfer rates at the surface were tabulated for various values of the flow parameters. The present results were compared with those of previously published studies andwere found to be in excellent agreement. This research has practical applications in areas such as drug delivery, thermal medicine and cancer treatment. [ABSTRACT FROM AUTHOR]