On Generalization of Sturm-Liouville Theory for Fractional Bessel Operator

Subject Areas : Statistics

S.S. Mosazadeh ¹ (Assistant Professor, Department of Pure Mathematics (Asymptotic Analysis), Faculty of Mathematical Sciences, University of Kashan, Kashan 87317-53153, Iran)

Received: 2017-07-25 Accepted : 2019-06-14 Published : 2019-05-01

Keywords: مقادیر ویژه, مسألۀ مقدار مرزی, توابع ویژه, نظریۀ طیفی,

Abstract :

In this paper, we give the spectral theory for eigenvalues and eigenfunctions of a boundary value problem consisting of the linear fractional Bessel operator. Moreover, we show that this operator is self-adjoint, the eigenvalues of the problem are real, and the corresponding eigenfunctions are orthogonal. In this paper, we give the spectral theory for eigenvalues and eigenfunctions of a boundary value problem consisting of the linear fractional Bessel operator. Moreover, we show that this operator is self-adjoint, the eigenvalues of the problem are real, and the corresponding eigenfunctions are orthogonal. In this paper, we give the spectral theory for eigenvalues and eigenfunctions of a boundary value problem consisting of the linear fractional Bessel operator. Moreover, we show that this operator is self-adjoint, the eigenvalues of the problem are real, and the corresponding eigenfunctions are orthogonal. In this paper, we give the spectral theory for eigenvalues and eigenfunctions of a boundary value problem consisting of the linear fractional Bessel operator. Moreover, we show that this operator is self-adjoint, the eigenvalues of the problem are real, and the corresponding eigenfunctions are orthogonal.

References:

 

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