Fractal Hamiltonian systems

Authors

  • Bilender P. Allahverdiev Department of Mathematics, Khazar University, Baku, Azerbaijan; UNEC-Azerbaijan State University of Economics, Baku, Azerbaijan
  • Hüseyin Tuna Department of Mathematics, Burdur Mehmet Akif Ersoy University, Burdur, Turkey; UNEC-Azerbaijan State University of Economics, Baku, Azerbaijan

DOI:

https://doi.org/10.3842/umzh.v78i9-10.9657

Keywords:

Fractals, Fractional differential equations, Hamiltonian systems.

Abstract

UDC 517.98; 517.9

The present study offers a theoretical investigation into the fundamental principles of regular fractal Hamiltonian systems. A result is established concerning the existence and uniqueness of solutions. The maximal and minimal operators corresponding to this system are introduced, and their properties are investigated. In addition, a criterion is presented, which determines when these operators are self-adjoint. In conclusion, we prove an expansion theorem.

References

The full version of this paper will be published in Ukrainian Mathematical Journal, Vol. 78, No. 9-10, 2026.

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Published

19.09.2026

Issue

Vol. 78 No. 9-10 (2026)

Section

Research articles