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Spectral Properties of Fractional Sturm-Liouville Problem for Diffusion Operator

Spectral Theory 2013-11-07 v2

Abstract

In this study, we give a regular fractional Sturm Liouville problem for diffusion operator (FSLPDO), research the spectral properties of the eigenfunctions and eigenvalues of the diffusion operator. We show that the eigenvalues and eigenfunctions of (FSLPDO) are real and orthogonal, respectively and fractional diffusion operator is self adjoint.

Keywords

Cite

@article{arxiv.1212.4761,
  title  = {Spectral Properties of Fractional Sturm-Liouville Problem for Diffusion Operator},
  author = {Erdal Bas and Funda Metin},
  journal= {arXiv preprint arXiv:1212.4761},
  year   = {2013}
}

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