One-dimensional conformable fractional Dirac system

被引：8
|
作者：
Allahverdiev, Bilender P. [1 ]
Tuna, Huseyin [2 ]
机构：
[1] Suleyman Demirel Univ, Dept Math, TR-32260 Isparta, Turkey
[2] Mehmet Akif Ersoy Univ, Dept Math, TR-15030 Burdur, Turkey
来源：
BOLETIN DE LA SOCIEDAD MATEMATICA MEXICANA | 2020年 / 26卷 / 01期
关键词：
Conformable fractional Dirac system; Self-adjoint operator; Eigenvalues and eigenfunctions; Green's matrix; Eigenfunction expansions;
D O I：
10.1007/s40590-019-00235-5
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this article, we consider a conformable fractional Dirac system. We prove an existence and uniqueness theorem for this system and formulate a self-adjoint boundary-value problem. We also construct the associated Green matrix of the conformable fractional Dirac system, and we give the eigenfunction expansions. Finally, we give some examples.
引用
收藏
页码：121 / 146
页数：26
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