Please use this identifier to cite or link to this item: http://hdl.handle.net/10773/25339
 Title: First and second fundamental solutions of the time-fractional telegraph equation of order 2α Author: Ferreira, Milton dos SantosRodrigues, Maria Manuela FernandesVieira, Nelson Felipe Keywords: Time-fractional telegraph equationTelegraph Dirac operatorFirst and second fundamental solutionsCaputo fractional derivativeMultivariate Mittag-Leffler functionH-function of two variables Issue Date: 2018 Publisher: AIP Publishing Abstract: In this work we obtain the first and second fundamental solutions of the multidimensional time-fractional equation of order $2\alpha$, $\alpha \in ]0,1]$, where the two time-fractional derivatives are in the Caputo sense. We obtain representations of the fundamental solutions in terms of Hankel transform, double Mellin-Barnes integral, and H-functions of two variables. As an application, the fundamental solutions are used to solve a Cauchy problem, and to study telegraph process with Brownian time. Peer review: yes URI: http://hdl.handle.net/10773/25339 DOI: 10.1063/1.5081599 ISSN: 978-0-7354-1772-4 Publisher Version: https://aip.scitation.org/doi/abs/10.1063/1.5081599 Appears in Collections: CIDMA - ArtigosCHAG - Artigos

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