Asymptotic Behavior of Solutions to Linear Fractal Differential Equations

Khalili Golmankhaneh, Alireza; Tunç, Cemil; Şevli, Hamdullah

doi:10.1007/s40819-026-02106-w

Asymptotic Behavior of Solutions to Linear Fractal Differential Equations

Khalili Golmankhaneh A., Tunç C., Şevli H.

International Journal of Applied and Computational Mathematics, cilt.12, sa.2, 2026 (Scopus)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 12 Sayı: 2
Basım Tarihi: 2026
Doi Numarası: 10.1007/s40819-026-02106-w
Dergi Adı: International Journal of Applied and Computational Mathematics
Derginin Tarandığı İndeksler: Scopus
Anahtar Kelimeler: Asymptotic behavior, Fα-Calculus, Fractal differential equations, Higher-order fractal equations, Linear differential equations
Van Yüzüncü Yıl Üniversitesi Adresli: Evet

Özet

This paper examines the asymptotic behavior of solutions to linear fractal differential equations within the framework of Fα-calculus. We identify the conditions that determine whether the solutions remain stable, grow, or decay. These dynamics are further explored through comprehensive examples and theoretical findings, emphasizing the self-similar characteristics of solutions, including first- and second-order higher α-order fractal differential equations.