Abstract
In this paper, we define a fractional singular Sturm-Liouville operator having Coulomb potential of type . Our main issue is to investigate the spectral properties for the operator. Furthermore, we prove new results according to the fractional singular Sturm-Liouville problem. MSC:26A33, 34A08.
Highlights
The idea of generalizing differential operators to a non-integer order, especially to the order, appeared in the correspondence of L’Hospital and Leibniz in LaterFourier, Euler and Laplace were among the many that studied fractional calculus and mathematical consequences
We show that the fractional SturmLiouville operator with Coulomb potential is self adjoint, in addition to [ ]
Let us take up a fractional singular Sturm-Liouville problem for Coulomb potential
Summary
The idea of generalizing differential operators to a non-integer order, especially to the order, appeared in the correspondence of L’Hospital and Leibniz in LaterFourier, Euler and Laplace were among the many that studied fractional calculus and mathematical consequences. Before giving the main results for the singular fractional operator, we give some fundamental physical properties of the Sturm-Liouville operator with Coulomb potential. Our aim is to introduce a singular fractional Sturm-Liouville problem with Coulomb potential and prove spectral properties of spectral data for the operator. Let us take up a fractional singular Sturm-Liouville problem for Coulomb potential.
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