Detalhes do Documento

Uniformly distributed-order wave equation in higher dimensions

Autor(es): Vieira, N. ; Rodrigues, M. M. ; Ferreira, M.

Data: 2023

Identificador Persistente: http://hdl.handle.net/10773/39387

Origem: RIA - Repositório Institucional da Universidade de Aveiro

Assunto(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

Descrição

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.

Tipo de Documento Artigo científico
Idioma Inglês

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Detalhes do Documento

Uniformly distributed-order wave equation in higher dimensions

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