IDEAS home Printed from https://ideas.repec.org/a/hin/jnlmpe/9372406.html
   My bibliography  Save this article

Existence and Hyers–Ulam Stability of Solutions for a Mixed Fractional-Order Nonlinear Delay Difference Equation with Parameters

Author

Listed:
  • Danfeng Luo
  • Zhiguo Luo
  • Hongjun Qiu

Abstract

This paper focuses on a kind of mixed fractional-order nonlinear delay difference equations with parameters. Under some new criteria and by applying the Brouwer theorem and the contraction mapping principle, the new existence and uniqueness results of the solutions have been established. In addition, we deduce that the solution of the addressed equation is Hyers–Ulam stable. Some results in the literature can be generalized and improved. As an application, three typical examples are delineated to demonstrate the effectiveness of our theoretical results.

Suggested Citation

  • Danfeng Luo & Zhiguo Luo & Hongjun Qiu, 2020. "Existence and Hyers–Ulam Stability of Solutions for a Mixed Fractional-Order Nonlinear Delay Difference Equation with Parameters," Mathematical Problems in Engineering, Hindawi, vol. 2020, pages 1-12, October.
  • Handle: RePEc:hin:jnlmpe:9372406
    DOI: 10.1155/2020/9372406
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/MPE/2020/9372406.pdf
    Download Restriction: no

    File URL: http://downloads.hindawi.com/journals/MPE/2020/9372406.xml
    Download Restriction: no

    File URL: https://libkey.io/10.1155/2020/9372406?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
    ---><---

    Citations

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


    Cited by:

    1. Abdelkrim Salim & Jehad Alzabut & Weerawat Sudsutad & Chatthai Thaiprayoon, 2022. "On Impulsive Implicit ψ -Caputo Hybrid Fractional Differential Equations with Retardation and Anticipation," Mathematics, MDPI, vol. 10(24), pages 1-20, December.

    More about this item

    Statistics

    Access and download statistics

    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:hin:jnlmpe:9372406. 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: Mohamed Abdelhakeem (email available below). General contact details of provider: https://www.hindawi.com .

    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.