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Generalized Adams method for solving fractional delay differential equations

Author

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  • Zhao, Jingjun
  • Jiang, Xingzhou
  • Xu, Yang

Abstract

Based on fractional generalized Adams methods, a numerical method is constructed for solving fractional delay differential equations. The convergence of the method is analyzed in detail. The stability of the fractional generalized Adams methods for fractional ordinary differential equations is generalized to a general framework. Under such framework, the linear stability of the method is studied for fractional delay differential equations. Numerical experiments confirm the convergence and the stability of the method.

Suggested Citation

  • Zhao, Jingjun & Jiang, Xingzhou & Xu, Yang, 2021. "Generalized Adams method for solving fractional delay differential equations," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 180(C), pages 401-419.
    • Handle: RePEc:eee:matcom:v:180:y:2021:i:c:p:401-419
    DOI: 10.1016/j.matcom.2020.09.006
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    References listed on IDEAS

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    1. Zhen Wang, 2013. "A Numerical Method for Delayed Fractional-Order Differential Equations," Journal of Applied Mathematics, Hindawi, vol. 2013, pages 1-7, May.
    2. Yan, Ye & Kou, Chunhai, 2012. "Stability analysis for a fractional differential model of HIV infection of CD4+ T-cells with time delay," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 82(9), pages 1572-1585.
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