Stability Analysis of Fractional Order Differential Equations with Time Delays

Lutfiah Dwi Ristiani ; Selvi Angelina ; Tavika Trirahma
International Journal of Applied Mathematics and C... 📅 2024 Vol 1, No 2 🔗 DOI: 10.62951/ijamc.v1i2.75
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.
How to Cite

Lutfiah Dwi Ristiani, et al. (2024). Stability Analysis of Fractional Order Differential Equations with Time Delays. International Journal of Applied Mathematics and Computing, 1(2). https://doi.org/10.62951/ijamc.v1i2.75

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, 2024.

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, 2024.

Lutfiah Dwi Ristiani; Selvi Angelina; Tavika Trirahma. "Stability Analysis of Fractional Order Differential Equations with Time Delays." International Journal of Applied Mathematics and Computing 1, no. 2 (2024).

Lutfiah Dwi Ristiani, et al. (2024) 'Stability Analysis of Fractional Order Differential Equations with Time Delays', International Journal of Applied Mathematics and Computing, 1(2). doi: 10.62951/ijamc.v1i2.75.

Lutfiah Dwi Ristiani; Selvi Angelina; Tavika Trirahma. Stability Analysis of Fractional Order Differential Equations with Time Delays. International Journal of Applied Mathematics and Computing. 2024;1(2).

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