Electron and photon distribution. (a) Plot of the electron energy distribution at different time-steps for synchrotron and adiabatic losses only. The values of the parameters are cm, erg s⁻¹, u_exp = 0.1 c, G, γ_min = 1, γ_max = 10⁶, p = 2, and δ = 10, while the profile of magnetic field strength decreases along B′∝R^{′ − 2} and the electron luminosity is constant in time. Full lines represent analytical solutions, while dashed lines the corresponding numerical ones. (b) Numerical results of the photon SED for the time instances of the depicted electrons.