Journal of Applied Probability

Asymptotic behaviour of the time-fractional telegraph equation

Vicente Vergara

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We obtain the long-time behaviour to the variance of the distribution process associated with the solution of the telegraph equation. To this end, we use a version of the Karamata-Feller Tauberian theorem.

Article information

J. Appl. Probab., Volume 51, Number 3 (2014), 890-893.

First available in Project Euclid: 5 September 2014

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Digital Object Identifier

Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 60G22: Fractional processes, including fractional Brownian motion
Secondary: 45K05: Integro-partial differential equations [See also 34K30, 35R09, 35R10, 47G20] 45M05: Asymptotics

Telegraph equation fractional derivative Mittag-Leffler function Tauberian theorem


Vergara, Vicente. Asymptotic behaviour of the time-fractional telegraph equation. J. Appl. Probab. 51 (2014), no. 3, 890--893. doi:10.1239/jap/1409932682.

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