Regular fractal Dirac systems

被引：0
|
作者：
Allahverdiev, Bilender P. [1 ,2 ]
Tuna, Huseyin [2 ,3 ]
Golmankhaneh, Alireza Khalili [4 ,5 ]
机构：
[1] Khazar Univ, Dept Math, Baku AZ-1096, Azerbaijan
[2] UNEC Azerbaijan State Univ Econ, Res Ctr Econophys, Baku AZ-1001, Azerbaijan
[3] Burdur Mehmet Akif Ersoy Univ, Dept Math, TR-15030 Burdur, Turkiye
[4] Urmia BranchIslam Azad Univ, Dept Phys, Orumiyeh 63896, W Azerbaijan, Iran
[5] Van Yuzuncu Yil Univ, Fac Sci, Dept Math, TR-65080 Van, Turkiye
来源：
INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS | 2025年
关键词：
Fractals; fractional differential equations; Dirac operator; REAL LINE; CALCULUS; SUBSETS;
D O I：
10.1142/S0219887825500951
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
In this paper, the classical one-dimensional Dirac equation is considered under the framework of fractal calculus. First, the maximal and minimal operators corresponding to the problem are defined. Then the symmetric operator is obtained, the Green's function corresponding to the problem is constructed, and the eigenfunction expansion is given. Finally, some examples are given.
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页数：13
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