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Inverse Nodal Problem for a Conformable Fractional Diffusion Operator

In this paper, a diffusion operator including conformable fractional derivatives of order {\alpha} ({\alpha} in (0,1)) is considered. The asymptotics of the eigenvalues, eigenfunctions and nodal points of the operator are obtained. Furthermore, an effective procedure for solving the inverse nodal pr...

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Bibliographic Details
Published in:arXiv.org 2020-04
Main Author: Çakmak, Yaşar
Format: Article
Language:English
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Online Access:Get full text
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Summary:In this paper, a diffusion operator including conformable fractional derivatives of order {\alpha} ({\alpha} in (0,1)) is considered. The asymptotics of the eigenvalues, eigenfunctions and nodal points of the operator are obtained. Furthermore, an effective procedure for solving the inverse nodal problem is given.
ISSN:2331-8422
DOI:10.48550/arxiv.2004.03729