Asymptotic Behavior of Solutions to Linear Fractal Differential Equations
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.