Fractal telegraph equation

Golmankhaneh A. K., Cattani C., O’Regan D., Tejado I., Vidović Z.

Bollettino dell'Unione Matematica Italiana, cilt.18, sa.4, ss.1081-1093, 2025 (ESCI, Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 18 Sayı: 4
  • Basım Tarihi: 2025
  • Doi Numarası: 10.1007/s40574-024-00454-3
  • Dergi Adı: Bollettino dell'Unione Matematica Italiana
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, MathSciNet, zbMATH
  • Sayfa Sayıları: ss.1081-1093
  • Anahtar Kelimeler: Fractal calculus, Fractal heat equation, Fractal space, Fractal telegraph equation, Fractal time
  • Van Yüzüncü Yıl Üniversitesi Adresli: Hayır

Özet

In this paper, we provide a brief review of fractal calculus. We introduce the fractal telegraph equation, which generalizes both the fractal heat and wave equations, and derive its solution. The solutions are plotted to highlight the differences between fractal differential equations and standard differential equations, demonstrating the effects of fractal time and space on the solutions.