Publication Date:
2023-08-29
Description:
In statistical seismology, the Epidemic Type Aftershocks Sequence (ETAS) model
is a branching process used world-wide to forecast earthquake intensity rates and
reproduce many statistical features observed in seismicity catalogs. In this paper, we
describe a fractional differential equation that governs the earthquake intensity rate of
the pure temporal ETAS model by using the Caputo fractional derivative and we solve
it analytically. We highlight that the tools and special functions of fractional calculus
simplify the classical methods employed to obtain the intensity rate and let us describe
the change of solution decay for large times.We also apply and discuss the theoretical
results to the Japanese catalog in the period 1965-2003.
Description:
Published
Description:
461-479
Description:
6T. Studi di pericolosità sismica e da maremoto
Description:
JCR Journal
Keywords:
05.05. Mathematical geophysics
Repository Name:
Istituto Nazionale di Geofisica e Vulcanologia (INGV)
Type:
article
