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A fractional approach to study the pure-temporal Epidemic Type Aftershock Sequence (ETAS) process for earthquakes modeling

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Main Authors: Lorenzo, Cristofaro, Roberto, Garra, Enrico, Scalas
Format: Book
Language:English
Published: Springer 2023
Subjects:
ETAS
using the Caputo fractional derivative
Online Access:https://dlib.phenikaa-uni.edu.vn/handle/PNK/7463
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spelling oai:localhost:PNK-74632023-04-04T01:57:01Z A fractional approach to study the pure-temporal Epidemic Type Aftershock Sequence (ETAS) process for earthquakes modeling Lorenzo, Cristofaro Roberto, Garra Enrico, Scalas ETAS using the Caputo fractional derivative CC BY 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. 2023-04-04T01:57:01Z 2023-04-04T01:57:01Z 2023 Book https://dlib.phenikaa-uni.edu.vn/handle/PNK/7463 en application/pdf Springer
institution Digital Phenikaa
collection Digital Phenikaa
language English
topic ETAS
using the Caputo fractional derivative
spellingShingle ETAS
using the Caputo fractional derivative
Lorenzo, Cristofaro
Roberto, Garra
Enrico, Scalas
A fractional approach to study the pure-temporal Epidemic Type Aftershock Sequence (ETAS) process for earthquakes modeling
description CC BY
format Book
author Lorenzo, Cristofaro
Roberto, Garra
Enrico, Scalas
author_facet Lorenzo, Cristofaro
Roberto, Garra
Enrico, Scalas
author_sort Lorenzo, Cristofaro
title A fractional approach to study the pure-temporal Epidemic Type Aftershock Sequence (ETAS) process for earthquakes modeling
title_short A fractional approach to study the pure-temporal Epidemic Type Aftershock Sequence (ETAS) process for earthquakes modeling
title_full A fractional approach to study the pure-temporal Epidemic Type Aftershock Sequence (ETAS) process for earthquakes modeling
title_fullStr A fractional approach to study the pure-temporal Epidemic Type Aftershock Sequence (ETAS) process for earthquakes modeling
title_full_unstemmed A fractional approach to study the pure-temporal Epidemic Type Aftershock Sequence (ETAS) process for earthquakes modeling
title_sort fractional approach to study the pure-temporal epidemic type aftershock sequence (etas) process for earthquakes modeling
publisher Springer
publishDate 2023
url https://dlib.phenikaa-uni.edu.vn/handle/PNK/7463
_version_ 1762274896890560512
score 8.881002

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