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

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  • Sánchez C., Ewin
  • Vega-Jorquera, Pedro

Abstract

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.

Suggested Citation

  • Sánchez C., Ewin & Vega-Jorquera, Pedro, 2019. "Modelling temporal decay of aftershocks by a solution of the fractional reactive equation," Applied Mathematics and Computation, Elsevier, vol. 340(C), pages 43-49.
    • Handle: RePEc:eee:apmaco:v:340:y:2019:i:c:p:43-49
    DOI: 10.1016/j.amc.2018.08.022
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    1. Mathai, A.M. & Haubold, H.J., 2007. "Pathway model, superstatistics, Tsallis statistics, and a generalized measure of entropy," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 375(1), pages 110-122.
    2. H. J. Haubold & A. M. Mathai & R. K. Saxena, 2011. "Mittag-Leffler Functions and Their Applications," Journal of Applied Mathematics, Hindawi, vol. 2011, pages 1-51, May.
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    Cited by:

    1. Duc, Tran Minh & Van Hoa, Ngo, 2021. "Stabilization of impulsive fractional-order dynamic systems involving the Caputo fractional derivative of variable-order via a linear feedback controller," Chaos, Solitons & Fractals, Elsevier, vol. 153(P2).

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