Discrete Fractional Sturm-Liouville Equations

Erdal Bas; Ramazan Ozarslan

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arXiv · 1705.04123

Discrete Fractional Sturm-Liouville Equations

Erdal Bas·Ramazan Ozarslan

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Abstract

In this study, we define discrete fractional Sturm-Liouville (DFSL) operators within Riemann-Liouville and Gr\"unwald-Letnikov fractional operators with both delta and nabla operators. We show selfadjointness of the DFSL operator for the first time and prove some spectral properties, like orthogonality of distinct eigenfunctions, reality of eigenvalues, paralelly in integer and fractional order differential operator counterparts.

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BibTeX RIS

Erdal Bas, Ramazan Ozarslan. 2017-05-11. Discrete Fractional Sturm-Liouville Equations. https://arxiv.org/abs/1705.04123

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