Please use this identifier to cite or link to this item: http://hdl.handle.net/10773/31781
 Title: Time-fractional telegraph equation of distributed order in higher dimensions Author: Vieira, N.Rodrigues, M. M.Ferreira, M. Keywords: Time-fractional telegraph equationDistributed orderLaplace transformFourier transformMellin transformFox H-functionsFractional momentsTauberian Theorem Issue Date: Nov-2021 Publisher: Elsevier Abstract: In this work, the Cauchy problem for the time-fractional telegraph equation of distributed order in $\BR^n \times \BR^+$ is considered. By employing the technique of the Fourier, Laplace and Mellin transforms, a representation of the fundamental solution of this equation in terms of convolutions involving the Fox H-function is obtained. Some particular choices of the density functions in the form of elementary functions are studied. Fractional moments of the fundamental solution are computed in the Laplace domain. Finally, by application of the Tauberian theorems, we study the asymptotic behaviour of the second-order moment (variance) in the time domain. Peer review: yes URI: http://hdl.handle.net/10773/31781 DOI: 10.1016/j.cnsns.2021.105925 ISSN: 1007-5704 Publisher Version: https://www.sciencedirect.com/science/article/pii/S1007570421002379 Appears in Collections: CIDMA - ArtigosDMat - ArtigosCHAG - Artigos

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