Gamma-Ray Bursts (GRBs) are intense and short flashes of 𝛾-rays followed by the afterglow, that is long lasting multi-wavelength emission. Very high energy (VHE, 𝐸 > 100 GeV) photons have been recently detected from a couple of GRBs during the afterglow. In this contribution we numerically investigate the production of VHE photons in GRB afterglows in the context of a leptonic synchrotron self Compton model. We study the impact of the accelerated electron distribution (i.e. power law versus Maxwell-Jüttner) on the gamma-ray afterglow spectra and light curves. When the thermal electron distribution carries most of the total particle energy, the light
curves in specific energy ranges may deviate from the standard power-law decay, and the 𝛾-ray spectra may show multiple spectral components attributed to the synchro-Compton process of thermal and non-thermal electrons.