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Title: On a fractional Sturm-Liouville problem in higher dimensions
Author: Vieira, N.
Rodrigues, M. M.
Ferreira, M.
Keywords: Fractional derivatives
ractional Sturm-Liouville problem
Fractional variational calculus
Eigenvalue problem
Fractional Clifford analysis
Issue Date: 1-Sep-2023
Publisher: American Institute of Physics (AIP)
Abstract: 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.
Peer review: yes
DOI: 10.1063/5.0163478
ISSN: 0094-243X
Publisher Version:
Appears in Collections:CIDMA - Artigos
DMat - Artigos
CHAG - Artigos

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