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Discrete fractional Bihari inequality and uniqueness theorem of solutions of nabla fractional difference equations with non-Lipschitz nonlinearities

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  • Wang, Mei
  • Jia, Baoguo
  • Chen, Churong
  • Zhu, Xiaojuan
  • Du, Feifei

Abstract

In this paper, the discrete fractional Bihari inequality is developed. Based on this inequality, uniqueness theorem of solutions of fractional difference equations with non-Lipschitz nonlinearities is derived. In addition, the effectiveness of proposed results is illustrated by a nonlinear numerical example.

Suggested Citation

  • Wang, Mei & Jia, Baoguo & Chen, Churong & Zhu, Xiaojuan & Du, Feifei, 2020. "Discrete fractional Bihari inequality and uniqueness theorem of solutions of nabla fractional difference equations with non-Lipschitz nonlinearities," Applied Mathematics and Computation, Elsevier, vol. 376(C).
    • Handle: RePEc:eee:apmaco:v:376:y:2020:i:c:s0096300320300874
    DOI: 10.1016/j.amc.2020.125118
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    References listed on IDEAS

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    1. Wang, Mei & Du, Feifei & Chen, Churong & Jia, Baoguo, 2019. "Asymptotic stability of (q, h)-fractional difference equations," Applied Mathematics and Computation, Elsevier, vol. 349(C), pages 158-167.
    2. Wu, Guo-Cheng & Baleanu, Dumitru & Luo, Wei-Hua, 2017. "Lyapunov functions for Riemann–Liouville-like fractional difference equations," Applied Mathematics and Computation, Elsevier, vol. 314(C), pages 228-236.
    3. Gu, Yajuan & Wang, Hu & Yu, Yongguang, 2020. "Synchronization for fractional-order discrete-time neural networks with time delays," Applied Mathematics and Computation, Elsevier, vol. 372(C).
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