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S-asymptotically ω-positive periodic solutions for a class of neutral fractional differential equations

Author

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  • Shu, Xiao-Bao
  • Xu, Fei
  • Shi, Yajing

Abstract

In this paper, we investigate the existence of the S-asymptotically ω-positive periodic solutions to a class of semilinear neutral Caputo fractional differential equations with infinite delay, given by {Dtα(x(t)+F(t,xt))+A(x(t))=G(t,xt),t≥0,x(0)=φ∈B.The function is considered in a Banach space X for 0 < α < 1. Here −A denotes the infinitesimal generator of an analytic semigroup {T(t)}t ≥ 0.

Suggested Citation

  • Shu, Xiao-Bao & Xu, Fei & Shi, Yajing, 2015. "S-asymptotically ω-positive periodic solutions for a class of neutral fractional differential equations," Applied Mathematics and Computation, Elsevier, vol. 270(C), pages 768-776.
  • Handle: RePEc:eee:apmaco:v:270:y:2015:i:c:p:768-776
    DOI: 10.1016/j.amc.2015.08.080
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    Cited by:

    1. Jia Mu & Yong Zhou & Li Peng, 2017. "Periodic Solutions and -Asymptotically Periodic Solutions to Fractional Evolution Equations," Discrete Dynamics in Nature and Society, Hindawi, vol. 2017, pages 1-12, April.
    2. He, Bing & Wang, Qi-Ru & Cao, Jun-Fei, 2020. "Weighted Sp-pseudo S-asymptotic periodicity and applications to Volterra integral equations," Applied Mathematics and Computation, Elsevier, vol. 380(C).

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