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2016-05-03

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Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/107043

Fractional telegrapher's equation from fractional persistent random walks

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Abstract

We generalize the telegrapher's equation to allow for anomalous transport. We derive the space-time fractional telegrapher's equation using the formalism of the persistent random walk in continuous time. We also obtain the characteristic function of the space-time fractional process and study some particular cases and asymptotic approximations. Similarly to the ordinary telegrapher's equation, the time-fractional equation also presents distinct behaviors for different time scales. Specifically, transitions between different subdiffusive regimes or from superdiffusion to subdiffusion are shown by the fractional equation as time progresses

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Processos estocàstics, Equacions diferencials lineals

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Stochastic processes, Linear differential equations

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Articles publicats en revistes (Física de la Matèria Condensada)

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MASOLIVER, Jaume. Fractional telegrapher's equation from fractional persistent random walks. Physical Review E. 2016. Vol. 93, num. 5, pags. 052107-1-052107-10. ISSN 1539-3755. [consulted: 12 of June of 2026]. Available at: https://hdl.handle.net/2445/107043

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