Asymptotic behaviour of the time-fractional telegraph equation

Vicente Vergara

doi:10.1239/jap/1409932682

Abstract

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.

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Vicente Vergara. "Asymptotic behaviour of the time-fractional telegraph equation." J. Appl. Probab. 51 (3) 890 - 893, September 2014. https://doi.org/10.1239/jap/1409932682

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Published: September 2014

First available in Project Euclid: 5 September 2014

zbMATH: 1327.60095

MathSciNet: MR3256235

Digital Object Identifier: 10.1239/jap/1409932682

Subjects:

Primary: 60G22

Secondary: 45K05 , 45M05

Keywords: fractional derivative , Mittag-Leffler function , Tauberian theorem , telegraph equation

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