Stochastic solutions for fractional wave equations
Abstract A fractional wave equation replaces the second time derivative by a Caputo derivative of order between one and two. In this paper, we show that the fractional wave equation governs a stochastic model for wave propagation, with deterministic time replaced by the inverse of a stable subordina...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Meerschaert, Mark M. [verfasserIn] |
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| Format: |
Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2014 |
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| Schlagwörter: |
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| Anmerkung: |
© Springer Science+Business Media Dordrecht 2014 |
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| Übergeordnetes Werk: |
Enthalten in: Nonlinear dynamics - Springer Netherlands, 1990, 80(2014), 4 vom: 28. Feb., Seite 1685-1695 |
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| Übergeordnetes Werk: |
volume:80 ; year:2014 ; number:4 ; day:28 ; month:02 ; pages:1685-1695 |
| Links: |
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| DOI / URN: |
10.1007/s11071-014-1299-z |
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OLC2051109451 |
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| 520 | |a Abstract A fractional wave equation replaces the second time derivative by a Caputo derivative of order between one and two. In this paper, we show that the fractional wave equation governs a stochastic model for wave propagation, with deterministic time replaced by the inverse of a stable subordinator whose index is one-half the order of the fractional time derivative. | ||
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| 700 | 1 | |a Schilling, René L. |4 aut | |
| 700 | 1 | |a Sikorskii, Alla |4 aut | |
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10.1007/s11071-014-1299-z doi (DE-627)OLC2051109451 (DE-He213)s11071-014-1299-z-p DE-627 ger DE-627 rakwb eng 510 VZ 11 ssgn Meerschaert, Mark M. verfasserin aut Stochastic solutions for fractional wave equations 2014 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer Science+Business Media Dordrecht 2014 Abstract A fractional wave equation replaces the second time derivative by a Caputo derivative of order between one and two. In this paper, we show that the fractional wave equation governs a stochastic model for wave propagation, with deterministic time replaced by the inverse of a stable subordinator whose index is one-half the order of the fractional time derivative. Fractional calculus Wave equation Inverse subordinator Stochastic solution Schilling, René L. aut Sikorskii, Alla aut Enthalten in Nonlinear dynamics Springer Netherlands, 1990 80(2014), 4 vom: 28. Feb., Seite 1685-1695 (DE-627)130936782 (DE-600)1058624-6 (DE-576)034188126 0924-090X nnns volume:80 year:2014 number:4 day:28 month:02 pages:1685-1695 https://doi.org/10.1007/s11071-014-1299-z lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY SSG-OLC-CHE SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_70 AR 80 2014 4 28 02 1685-1695 |
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Abstract A fractional wave equation replaces the second time derivative by a Caputo derivative of order between one and two. In this paper, we show that the fractional wave equation governs a stochastic model for wave propagation, with deterministic time replaced by the inverse of a stable subordinator whose index is one-half the order of the fractional time derivative. © Springer Science+Business Media Dordrecht 2014 |
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Abstract A fractional wave equation replaces the second time derivative by a Caputo derivative of order between one and two. In this paper, we show that the fractional wave equation governs a stochastic model for wave propagation, with deterministic time replaced by the inverse of a stable subordinator whose index is one-half the order of the fractional time derivative. © Springer Science+Business Media Dordrecht 2014 |
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Abstract A fractional wave equation replaces the second time derivative by a Caputo derivative of order between one and two. In this paper, we show that the fractional wave equation governs a stochastic model for wave propagation, with deterministic time replaced by the inverse of a stable subordinator whose index is one-half the order of the fractional time derivative. © Springer Science+Business Media Dordrecht 2014 |
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