On a fractional Sturm-Liouville problem in higher dimensions

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

http://hdl.handle.net/10400.8/8788

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Authors

Vieira, N.

Rodrigues, M. M.

Ferreira, M.

Abstract(s)

In this short paper, we consider an n-dimensional fractional Sturm-Liouville eigenvalue problem, by using fractional versions of the gradient operator involving left Caputo and right Riemann-Liouville fractional derivatives. We study the main properties of the eigenfunctions and the eigenvalues of the associated fractional boundary problem.

URI

http://hdl.handle.net/10400.8/8788

Citation

N. Vieira, M. M. Rodrigues, M. Ferreira, On a fractional Sturm-Liouville problem in higher dimensions. International Conference of Numerical Analysis and Applied Mathematics 2021 (ICNAAM 2021), Rhodes, Greece, AIP Conference Proceedings 2849(1), 380003 (2023).