Modelling temporal decay of aftershocks by a solution of the fractional reactive equation

摘要

We propose a new analytical perspective to explain the behavior of the number of seismic events observed post an intense earthquake as time elapses, through the application of a fractional solution of the reactive equation. According to the results obtained, a double power law model shows the number density decay in several possible ways, among which is a particular case the modified version of Omori Law proposed by Utsu in 1961.