📅 30 April 2024
DOI: 10.62951/ijamc.v1i2.75
Stability Analysis of Fractional Order Differential Equations with Time Delays
International Journal of Applied Mathematics and Computing
Asosiasi Riset Ilmu Matematika dan Sains Indonesia (ARIMSI)
📄 Abstract
This paper investigates the stability characteristics of fractional order differential equations (FODEs) incorporating time delays. Using the Lyapunov-Krasovskii method, we derive sufficient conditions for the stability of solutions to these delayed fractional systems. The theoretical findings are applied to several examples, including models of population dynamics and engineering systems. Numerical simulations validate the theoretical results, demonstrating the role of time delays in system behavior and stability.
🔖 Keywords
#Fractional order differential equations; stability analysis; time delays; Lyapunov-Krasovskii method
#population dynamics.
ℹ️ Informasi Publikasi
Tanggal Publikasi
30 April 2024
Volume / Nomor / Tahun
Volume 1, Nomor 2, Tahun 2024
📝 HOW TO CITE
Lutfiah Dwi Ristiani; Selvi Angelina; Tavika Trirahma, "Stability Analysis of Fractional Order Differential Equations with Time Delays," International Journal of Applied Mathematics and Computing, vol. 1, no. 2, Apr. 2024.
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