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Eigenfunctions of the time-fractional telegraph equation of distributed order

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

Date: 2023

Persistent ID: http://hdl.handle.net/10773/39386

Origin: RIA - Repositório Institucional da Universidade de Aveiro

Subject(s): Time-fractional telegraph equation; Distributed order; Laplace; Fourier and Mellin transforms; Fox H-functions; Fractional moments; Tauberian theorems

Description

In this work, the eigenfunction problem for the time-fractional telegraph operator of distributed order in $\BR^n \times \BR^+$ is considered. By employing the technique of the Fourier, Laplace and Mellin transforms, an integral representation of the eigenfunctions involving the Fox H-function is obtained.

Document Type Journal article
Language English

Document details

Eigenfunctions of the time-fractional telegraph equation of distributed order

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