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Stability analysis of linear fractional neutral delay differential equations

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Abstract

This paper investigates the analytical stability region and the asymptotic stability of linear fractional neutral delay differential equations. Employing boundary locus techniques, the stability region of this problem is analyzed. Furthermore, we derive the fundamental solution of linear fractional neutral delay differential equations, and prove the exponential boundedness, the asymptotic stability and the algebraic decay rate. Finally, numerical tests are conducted to verify the theoretical results.

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Acknowledgements

The authors are greatly indebted to the referees for useful comments. This work is supported by the National Natural Science Foundation of China (project number: 12071100) and the Fundamental Research Funds for the Central Universities (project number: 2022FRFK060019).

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Authors and Affiliations

  1. School of Mathematics, Harbin Institute of Technology, Harbin, 150001, China

    **gjun Zhao, **ngchi Wang & Yang Xu

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  1. **gjun Zhao
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  2. **ngchi Wang
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  3. Yang Xu
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Correspondence to Yang Xu.

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Zhao, J., Wang, X. & Xu, Y. Stability analysis of linear fractional neutral delay differential equations. Calcolo 61, 40 (2024). https://doi.org/10.1007/s10092-024-00595-z

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