On a regular Ψ-fractional Sturm-Liouville problem

In this short paper, we consider a $\psi$-fractional Sturm-Liouville eigenvalue problem by using left $\psi$-Caputo and right $\psi$-Riemann-Liouville fractional derivatives. We study the main properties of the eigenfunctions and the eigenvalues of the associated fractional boundary problem.

Bibliographic Details
Main Author: Ferreira, M. (author)
Other Authors: Rodrigues, M. Manuela (author), Vieira, Nelson (author)
Format: article
Language:eng
Published: 2022
Subjects:
psi-fractional derivatives
psi-fractional Sturm-Liouville problem
Eigenvalues
Eigenfunctions
Online Access:http://hdl.handle.net/10400.8/7586
Country:Portugal
Oai:oai:iconline.ipleiria.pt:10400.8/7586
Description
Summary:In this short paper, we consider a $\psi$-fractional Sturm-Liouville eigenvalue problem by using left $\psi$-Caputo and right $\psi$-Riemann-Liouville fractional derivatives. We study the main properties of the eigenfunctions and the eigenvalues of the associated fractional boundary problem.

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