This article examines the time evolution of energy, particle density, synchrotron radiation loss, plasma frequency, electron particle density, and the relationship between these parameters and blackbody radiation in the presence of thermal noise for the tokamak fusion reactor with aneutronic fuel. To achieve this goal, a suitable thermal noise term is added to the set of energy and particle balance equations. These nonlinear point kinetic coupled differential equations are simultaneously solved by numerical methods. The results of our calculations related to fusion power, particle density, fusion energy density, and quality factor in cases: (i) without and (ii) with noise show that in the conditions where thermal noise is considered, the mentioned parameters and quality factor are increased and in fact system performance improves. Also, our numerical results related to synchrotron radiation loss, plasma frequency, electron particle density, and energy intensity in cases (i) and (ii) show that in the conditions when blackbody radiation occurs (3.75 and 7.225 s respectively for (i) and (ii) cases), synchrotron radiation reaches the maximum values of and for (i) and (ii) cases, respectively.