Modelling temporal decay of aftershocks by a solution of the fractional reactive equation. (English) Zbl 1428.86019
Summary: 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 T. Utsu [“A statistical study of the occurrence of aftershocks”, Geophys. Mag. 30, 521–605 (1961)].
MSC:
| 86A15 | Seismology (including tsunami modeling), earthquakes |
| 33E12 | Mittag-Leffler functions and generalizations |
| 86A32 | Geostatistics |
| 26A33 | Fractional derivatives and integrals |
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