Document details

Uniformly distributed-order wave equation in higher dimensions

Author(s): Vieira, N. ; Rodrigues, M. M. ; Ferreira, M.

Date: 2023

Persistent ID: http://hdl.handle.net/10773/39387

Origin: RIA - Repositório Institucional da Universidade de Aveiro

Subject(s): 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


Description

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.

Document Type Journal article
Language English
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