SPECTRAL EXPANSION FOR CONFORMABLE FRACTIONAL STURM-LIOUVILLE PROBLEM ON THE WHOLE LINE

被引：0

作者：

Allahverdi, Blender P. ^{[1
]}

Tuna, Hueseyin ^{[2
]}

Yalcinkaya, Yueksel ^{[1
]}

机构：

[1] Univ Suleyman Demirel, Dept Math, Isparta, Turkiye

[2] Univ Burdur Mehmet Akif Ersoy, Dept Math, Burdur, Turkiye

来源：

KRAGUJEVAC JOURNAL OF MATHEMATICS | 2024年 / 48卷 / 06期

关键词：

Singular conformable fractional Sturm-Liouville equation; spectral function; Parseval equality; spectral expansion; DIFFERENTIAL-EQUATIONS; EXISTENCE;

D O I：

10.46793/KgJMat2406.811A

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

. In this article, we discuss a conformable fractional Sturm-Liouville boundary-value problem on the whole line. We prove the existence of a spectral function for the singular conformable fractional Sturm-Lioville problem. Further, we establish a Parseval equality and spectral expansion formula by terms of the spectral function for conformable fractional Sturm-Liouville problem on the whole line.

引用

页码：811 / 826

页数：16

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