Regular fractal Dirac systems

Allahverdiev B., Tuna H., Golmankhaneh A. K.

International Journal of Geometric Methods in Modern Physics, vol.22, no.12, 2025 (SCI-Expanded) identifier

  • Nəşrin Növü: Article / Article
  • Cild: 22 Say: 12
  • Nəşr tarixi: 2025
  • Doi nömrəsi: 10.1142/s0219887825500951
  • jurnalın adı: International Journal of Geometric Methods in Modern Physics
  • Jurnalın baxıldığı indekslər: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Communication Abstracts, Metadex, zbMATH, Civil Engineering Abstracts
  • Açar sözlər: Dirac operator, Fractals, fractional differential equations
  • Açıq Arxiv Kolleksiyası: Məqalə
  • Adres: Bəli

Qısa məlumat

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.