Fractional-order hybrid functions combining simulated annealing algorithm for solving fractional pantograph differential equations

Zhou, Fengying; Xu, Xiaoyong

doi:10.1016/j.jocs.2023.102172

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Cited by 3 publications

References 45 publications

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2D scale-3 fractional Euler wavelets optimization algorithm for fractional-order differential equations

Zhou,

Zhang

2024

Journal of Computational Science

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2D scale-3 fractional Euler wavelets optimization algorithm for fractional-order differential equations

Zhou,

Zhang

2024

Journal of Computational Science

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A Course Planning Method Based on Simulated Annealing Algorithm

Li,

Yang,

Zheng

2023

2023 IEEE 6th International Conference on Automation, Electronics and Electrical Engineering (AUTEEE)

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Astrophysical expedition: Transit search heuristics for fractional Hammerstein control autoregressive models

Altaf,

Chang,

Chaudhary

et al. 2024

Mod. Phys. Lett. B

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This study presents an astrophysics-inspired transit search optimization (TSO) algorithm based on exoplanet search divided into five phases: galaxy phase, star phase, transit phase, neighbor phase and exploitation phase for effective parameter estimation of fractional Hammerstein control autoregressive (Fr-HCAR) systems. Various physical phenomena and real processes can be modeled with Fr-HCAR systems and estimating the Fr-HCAR parameters becomes a vital task. The mean-square error (MSE)-based criterion function is developed, and efficacy of the TSO for Fr-HCAR identification is deeply analyzed for different fractional orders, disturbance levels and degrees of freedom. The TSO remained accurate, convergent, robust and stable for all variations in Fr-HCAR but the accuracy level degrades a little bit for high disturbance and increased degrees of freedom. The reliability and trustworthiness of the TSO for Fr-HCAR identification are endorsed through statistical analyses conducted on sufficient autonomous executions of the scheme.

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Fractional-order hybrid functions combining simulated annealing algorithm for solving fractional pantograph differential equations

Cited by 3 publications

References 45 publications

2D scale-3 fractional Euler wavelets optimization algorithm for fractional-order differential equations

2D scale-3 fractional Euler wavelets optimization algorithm for fractional-order differential equations

A Course Planning Method Based on Simulated Annealing Algorithm

Astrophysical expedition: Transit search heuristics for fractional Hammerstein control autoregressive models

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