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S-asymptotically periodic fractional functional differential equations with off-diagonal matrix Mittag-Leffler function kernels

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  • Zhang, Tianwei
  • Li, Yongkun

Abstract

By employing off-diagonal matrix Mittag-Leffler functions and stability theory for line fractional functional differential equations, a new technique is proposed to investigate the existence, uniqueness and global asymptotical stability of S-asymptotically periodic solution for a class of semilinear Caputo fractional functional differential equations. Some better results are derived, which improve and extend the existing research findings in recent years. As an application of the general theory, some decision theorems are established for the asymptotically dynamical behaviors for fractional four-neuron BAM neural networks. The methods used in this paper could be applied to the study of other fractional differential systems in the areas of science and engineering.

Suggested Citation

  • Zhang, Tianwei & Li, Yongkun, 2022. "S-asymptotically periodic fractional functional differential equations with off-diagonal matrix Mittag-Leffler function kernels," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 193(C), pages 331-347.
    • Handle: RePEc:eee:matcom:v:193:y:2022:i:c:p:331-347
    DOI: 10.1016/j.matcom.2021.10.006
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    References listed on IDEAS

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    1. Akgül, Esra Karatas & Akgül, Ali & Yavuz, Mehmet, 2021. "New Illustrative Applications of Integral Transforms to Financial Models with Different Fractional Derivatives," Chaos, Solitons & Fractals, Elsevier, vol. 146(C).
    2. Li, Ruoxia & Gao, Xingbao & Cao, Jinde, 2019. "Non-fragile state estimation for delayed fractional-order memristive neural networks," Applied Mathematics and Computation, Elsevier, vol. 340(C), pages 221-233.
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    Cited by:

    1. Shah, Kamal & Abdeljawad, Thabet & Ali, Arshad, 2022. "Mathematical analysis of the Cauchy type dynamical system under piecewise equations with Caputo fractional derivative," Chaos, Solitons & Fractals, Elsevier, vol. 161(C).
    2. Huizhen Qu & Jianwen Zhou & Tianwei Zhang, 2022. "Three-Point Boundary Value Problems of Coupled Nonlocal Laplacian Equations," Mathematics, MDPI, vol. 10(13), pages 1-18, June.

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