Fractal Sturm–Liouville Theory
Fractal and Fractional, vol.9, no.5, 2025 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 9 Issue: 5
- Publication Date: 2025
- Doi Number: 10.3390/fractalfract9050268
- Journal Name: Fractal and Fractional
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, INSPEC, Directory of Open Access Journals
- Keywords: fractal calculus, fractal differential operators, fractal models, fractal Sturm–Liouville theory
- Open Archive Collection: Article
- Azerbaijan State University of Economics (UNEC) Affiliated: Yes
Abstract
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.