Fractal telegraph equation

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

Bollettino dell'Unione Matematica Italiana, vol.18, no.4, pp.1081-1093, 2025 (ESCI, Scopus) identifier

  • Publication Type: Article / Article
  • Volume: 18 Issue: 4
  • Publication Date: 2025
  • Doi Number: 10.1007/s40574-024-00454-3
  • Journal Name: Bollettino dell'Unione Matematica Italiana
  • Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus, MathSciNet, zbMATH
  • Page Numbers: pp.1081-1093
  • Keywords: Fractal calculus, Fractal heat equation, Fractal space, Fractal telegraph equation, Fractal time
  • Van Yüzüncü Yıl University Affiliated: No

Abstract

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.