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Uniformly distributed-order wave equation in higher dimensions

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In this short paper, we obtain the eigenfunctions of the uniformly distributed-order wave equation in Rn ×R+, 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.

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N. Vieira, M. M. Rodrigues, M. Ferreira, Uniformly distributed-order wave equation in higher dimensions. International Conference of Numerical Analysis and Applied Mathematics 2021 (ICNAAM 2021), Rhodes, Greece, AIP Conference Proceedings 2849(1), 380002 (2023).

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American Institute of Physics

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