An application of comparison criteria to fractional spectral problem having Coloumb potential | Zendy

Erdal Baş | Zendy; Turk Metin | Zendy

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An application of comparison criteria to fractional spectral problem having Coloumb potential

Author(s) -

Erdal Baş,

Turk Metin

Publication year - 2017

Publication title -

thermal science

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.339

H-Index - 43

eISSN - 2334-7163

pISSN - 0354-9836

DOI - 10.2298/tsci170612273b

Subject(s) - mathematical proof , sturm–liouville theory , boundary value problem , eigenvalues and eigenvectors , mathematics , graph , spectral properties , fractional calculus , spectral theory , mathematical analysis , physics , discrete mathematics , quantum mechanics , geometry , astrophysics , hilbert space

In this study, the zeros of eigen functions of spectral theory are considered in fractional Sturm-Liouville problem. The 1st and 2nd comparison theorems for fractional Sturm-Liouville equation with boundary condition and their proofs are given. In this way, our new approximation will contribute to construct fractional Sturm-Liouville theory. Also, its an application is given in case of Coulomb potential and the results are presented by a symbolic graph.

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