On Generalization of Sturm-Liouville Theory for Fractional Bessel Operator
Subject Areas : Statistics
1 - Assistant Professor, Department of Pure Mathematics (Asymptotic Analysis), Faculty of Mathematical Sciences, University of Kashan, Kashan 87317-53153, Iran
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.
]1[ موسیزاده، سیدسیفاله، ریشهها، مبانی و سیر تکاملی نظریۀ استورم-لیوویل، فرهنگ و اندیشۀ ریاضی، سال 36، شمارۀ 6، صص 67 تا 87، 1396.
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