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Title: Uniformly distributed-order wave equation in higher dimensions
Author: Vieira, N.
Rodrigues, M. M.
Ferreira, M.
Keywords: Time-fractional wave equation
Distributed order
Hilfer fractional derivative
Laplace transform
Fourier transform
Mellin transform
Mittag-Leffler function
Fox H-function
Fractional moments
Tauberian Theorem
Issue Date: 1-Sep-2023
Publisher: American Institute of Physics (AIP)
Abstract: In this short paper, we obtain the eigenfunctions of the uniformly distributed-order wave equation in $\BR^n \times \BR^+$, as Laplace integral of Fox H-functions. For the particular case of the first fundamental solution, the fractional moment of second order of the fundamental solution is studied using the Tauberian Theorem.
Peer review: yes
DOI: 10.1063/5.0162287
ISSN: 0094-243X
Publisher Version:
Appears in Collections:CIDMA - Artigos
DMat - Artigos
CHAG - Artigos

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