A fractional approach to study the pure-temporal Epidemic Type Aftershock Sequence (ETAS) process for earthquakes modeling
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| Ngôn ngữ: | English |
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Springer
2023
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| Truy cập trực tuyến: | https://dlib.phenikaa-uni.edu.vn/handle/PNK/7463 |
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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 |