ON HOMOGENEOUS SYSTEM OF FRACTAL DIFFERENTIAL EQUATIONS

Golmankhaneh A. K., Bongiorno D.

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

  • Yayın Türü: Makale / Tam Makale
  • Basım Tarihi: 2025
  • Doi Numarası: 10.1007/s10958-025-07658-8
  • Dergi Adı: Journal of Mathematical Sciences (United States)
  • Derginin Tarandığı İndeksler: Scopus, Academic Search Premier, MathSciNet, zbMATH
  • Anahtar Kelimeler: Fractal calculus, Fundamental solutions, Staircase function, System fractal differential equation
  • Van Yüzüncü Yıl Üniversitesi Adresli: Hayır

Özet

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.