Fractal Sturm–Liouville Theory

Golmankhaneh A. K., Vidović Z., Tuna H., Allahverdiev B. P.

Fractal and Fractional, cilt.9, sa.5, 2025 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 9 Sayı: 5
  • Basım Tarihi: 2025
  • Doi Numarası: 10.3390/fractalfract9050268
  • Dergi Adı: Fractal and Fractional
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, INSPEC, Directory of Open Access Journals
  • Anahtar Kelimeler: fractal calculus, fractal differential operators, fractal models, fractal Sturm–Liouville theory
  • Van Yüzüncü Yıl Üniversitesi Adresli: Evet

Özet

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.