Fractal Sturm–Liouville Theory
This paper provides a short summary of fractal calculus and its application to generalized Sturm–Liouville theory. It presents both the fractal homogeneous and non-homogeneous Sturm–Liouville problems and explores the theory’s applications in optics. We include examples and graphs to illustrate the effect of fractal support on the solutions and propose new models for fractal structures.
Authors
- Hüseyin Tuna (ORCID: https://orcid.org/0000-0001-7240-8687)
- Alireza Khalili Golmankhaneh (ORCID: https://orcid.org/0000-0002-5008-0163)
- Zoran Vidović (ORCID: https://orcid.org/0000-0002-6076-7073)
- Bilender P. Allahverdiev (ORCID: https://orcid.org/0000-0002-9315-4652)
Institutions
- Khazar University (AZ)
- Van Yüzüncü Yıl Üniversitesi (TR)
- University of Belgrade (RS)
- Azerbaijan State University of Economics (AZ)
- Burdur Mehmet Akif Ersoy Üniversitesi (TR)
Publication Details
- Journal
- Fractal and Fractional
- Published
- 2025-04-22
- DOI
- https://doi.org/10.3390/fractalfract9050268
- Citations
- 4
- Primary Topic
- Quantum chaos and dynamical systems
- Type
- article
- Field-Weighted Citation Impact
- 5.29