IDEAS home Printed from https://ideas.repec.org/a/eee/apmaco/v270y2015icp768-776.html
   My bibliography  Save this article

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

Author

Listed:
  • 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
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0096300315011364
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.amc.2015.08.080?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    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).

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:apmaco:v:270:y:2015:i:c:p:768-776. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    We have no bibliographic references for this item. You can help adding them by using this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: https://www.journals.elsevier.com/applied-mathematics-and-computation .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.