Eigenfunctions of the time-fractional telegraph equation of distributed order

Vieira, N.; Rodrigues, M. M.; Ferreira, M.

http://hdl.handle.net/10400.8/8785

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Authors

Vieira, N.

Rodrigues, M. M.

Ferreira, M.

Abstract(s)

In this work, the eigenfunction problem for the time-fractional telegraph operator of distributed order in Rn ×R+ 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.

URI

http://hdl.handle.net/10400.8/8785

Citation

N. Vieira, M. M. Rodrigues, M. Ferreira, Eigenfunctions of the time-fractional telegraph equation of distributed order. International Conference of Numerical Analysis and Applied Mathematics 2021 (ICNAAM 2021), Rhodes, Greece, AIP Conference Proceedings 2849(1), 380001 (2023).