Dirac’s method applied to the time-fractional diffusion-wave equation

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

http://hdl.handle.net/10400.8/9725

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Authors

Ferreira, M.

Vieira, N.

Rodrigues, M. M.

Abstract(s)

We compute the fundamental solution for time-fractional diffusion Dirac-like equations, which arise from the factorization of the multidimensional time-fractional diffusion-wave equation using Dirac’s factorization approach.

Description

Acknowledgments: The work of the authors was supported by Portuguese funds through CIDMA-Center for Research and Development in Mathematics and Applications, and FCT–Fundação para a Ciência e a Tecnologia, within projects UIDB/04106/2020 and UIDP/04106/2020. N. Vieira was also supported by FCT via the 2018 FCT program of Stimulus of Scientific Employment - Individual Support (Ref: CEECIND/01131/2018).

Keywords

Time-fractional diffusion Dirac equation Dirac's factorization method Fundamental solution

URI

http://hdl.handle.net/10400.8/9725

Citation

M. Ferreira, N. Vieira, and M.M. Rodrigues, Dirac's method applied to the time-fractional diffusion-wave equation, International Conference of Numerical Analysis and Applied Mathematics 2022 (ICNAAM 2022), Heraklion, Greece, AIP Conference Proceedings 3094(1), 380001 (2024).