Modeling and Solving Fractional Differential Algebraic Equations in Smart Control Systems

Khalid Farhan FazeaA
Bilangan : Jurnal Ilmiah Matematika, Kebumian dan... 📅 2025 Vol 3, No 3 🔗 DOI: 10.62383/bilangan.v3i3.504
Abstract
In this have a look at, a new mathematical model for FDAE-based smart manage systems is proposed. The model carries fractional derivatives blended with algebraic constraints to symbolize prolonged memory results. We describe a numerical method to solve the proposed device and practice this version to robotics, self-reliant cars, and sensible prosthetics. The Fractional Collocation Method is employed to resolve FDAEs, making sure accuracy and balance. To validate the proposed method, we introduce 3 examples: a simple FDAE demonstrating the accuracy of the numerical solution, a device of FDAEs modeling interdependent dynamic variables with algebraic constraints, and an FDAE with a nonlinear algebraic constraint, highlighting the approach's capability to handle complicated, nonlinear dynamics. Simulation results verify that FDAEs offer a more practical and powerful tool for designing and reading wise manage systems as compared to classical techniques.
Keywords
Fractional Differential Algebraic; Numerical approach; Smart Control Systems
How to Cite

Khalid Farhan FazeaA (2025). Modeling and Solving Fractional Differential Algebraic Equations in Smart Control Systems . Bilangan : Jurnal Ilmiah Matematika, Kebumian dan Angkasa, 3(3). https://doi.org/10.62383/bilangan.v3i3.504

Khalid Farhan FazeaA, "Modeling and Solving Fractional Differential Algebraic Equations in Smart Control Systems ," Bilangan : Jurnal Ilmiah Matematika, Kebumian dan Angkasa, vol. 3, no. 3, 2025.

Khalid Farhan FazeaA. "Modeling and Solving Fractional Differential Algebraic Equations in Smart Control Systems ." Bilangan : Jurnal Ilmiah Matematika, Kebumian dan Angkasa, vol. 3, no. 3, 2025.

Khalid Farhan FazeaA. "Modeling and Solving Fractional Differential Algebraic Equations in Smart Control Systems ." Bilangan : Jurnal Ilmiah Matematika, Kebumian dan Angkasa 3, no. 3 (2025).

Khalid Farhan FazeaA (2025) 'Modeling and Solving Fractional Differential Algebraic Equations in Smart Control Systems ', Bilangan : Jurnal Ilmiah Matematika, Kebumian dan Angkasa, 3(3). doi: 10.62383/bilangan.v3i3.504.

Khalid Farhan FazeaA. Modeling and Solving Fractional Differential Algebraic Equations in Smart Control Systems . Bilangan : Jurnal Ilmiah Matematika, Kebumian dan Angkasa. 2025;3(3).

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