ON HOMOGENEOUS SYSTEM OF FRACTAL DIFFERENTIAL EQUATIONS

Golmankhaneh A. K., Bongiorno D.

Journal of Mathematical Sciences (United States), 2025 (Scopus) identifier

  • Publication Type: Article / Article
  • Publication Date: 2025
  • Doi Number: 10.1007/s10958-025-07658-8
  • Journal Name: Journal of Mathematical Sciences (United States)
  • Journal Indexes: Scopus, Academic Search Premier, MathSciNet, zbMATH
  • Keywords: Fractal calculus, Fundamental solutions, Staircase function, System fractal differential equation
  • Van Yüzüncü Yıl University Affiliated: No

Abstract

In this paper, a homogeneous system of α-order linear fractal differential equation is defined, and the set of its fundamental solutions through the corresponding Wronskian matrix is described. Finally, the solutions of some assigned autonomous homogeneous systems are plotted to show the details previously proved.