Fractal Sturm–Liouville Theory

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

Fractal and Fractional, vol.9, no.5, 2025 (SCI-Expanded) identifier

  • Nəşrin Növü: Article / Article
  • Cild: 9 Say: 5
  • Nəşr tarixi: 2025
  • Doi nömrəsi: 10.3390/fractalfract9050268
  • jurnalın adı: Fractal and Fractional
  • Jurnalın baxıldığı indekslər: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, INSPEC, Directory of Open Access Journals
  • Açar sözlər: fractal calculus, fractal differential operators, fractal models, fractal Sturm–Liouville theory
  • Açıq Arxiv Kolleksiyası: Məqalə
  • Adres: Bəli

Qısa məlumat

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.