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Synchrotron radiation from a decelerating blastwave is a widely acceptedmodel of radio to X-ray afterglow emission from gamma-ray bursts (GRBs). GeVgamma-ray emission detected by the Fermi Large Area Telescope (LAT) and theduration of which extends beyond the prompt gamma-ray emission phase, is alsocompatible with broad features of afterglow emission. We revisit thesynchrotron self-Compton (SSC) emission model from a decelerating blastwave tofit multiwavelength data from three bright GRBs, namely GRB~190114C,GRB~130427A and GRB~090510. We constrain the afterglow model parameters usingthe simultaneous fit of the spectral energy distributions at different timesand light curves at different frequencies for these bursts. We find that aconstant density interstellar medium is favored for the short GRB~090510, whilea wind-type environment is favored for the long GRB~130427A and GRB~190114C.The sub-TeV component in GRB~190114C detected by MAGIC is the SSC emission inour modelling. Furthermore we find that the SSC emission in the Thomson regimeis adequate to fit the spectra and light curves of GRB~190114C. For the othertwo GRBs, lacking sub-TeV detection, the SSC emissions are also modeled in theThomson regime. For the model parameters we have used, the $\gamma\gamma$attenuation in the blastwave is negligible in the sub-TeV range compared to theredshift-dependent $\gamma\gamma$ attenuation in the extragalactic backgroundlight.

Modelling synchrotron and synchrotron self-Compton emission of gamma-ray burst afterglows from radio to very-high energies