IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v10y2022i5p767-d760462.html
   My bibliography  Save this article

Existence and Uniqueness Results for Fractional ( p , q )-Difference Equations with Separated Boundary Conditions

Author

Listed:
  • Pheak Neang

    (Department of Mathematics, Faculty of Science, Khon Kaen University, Khon Kaen 40002, Thailand)

  • Kamsing Nonlaopon

    (Department of Mathematics, Faculty of Science, Khon Kaen University, Khon Kaen 40002, Thailand)

  • Jessada Tariboon

    (Department of Mathematics, Faculty of Applied Science, King Mongkut’s University of Technology North Bangkok, Bangkok 10800, Thailand)

  • Sotiris K. Ntouyas

    (Department of Mathematics, University of Ioannina, 451 10 Ioannina, Greece
    Nonlinear Analysis and Applied Mathematics (NAAM)-Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia)

  • Bashir Ahmad

    (Nonlinear Analysis and Applied Mathematics (NAAM)-Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia)

Abstract

In this paper, we study the existence of solutions to a fractional ( p , q ) -difference equation equipped with separate local boundary value conditions. The uniqueness of solutions is established by means of Banach’s contraction mapping principle, while the existence results of solutions are obtained by applying Krasnoselskii’s fixed-point theorem and the Leary–Schauder alternative. Some examples illustrating the main results are also presented.

Suggested Citation

  • Pheak Neang & Kamsing Nonlaopon & Jessada Tariboon & Sotiris K. Ntouyas & Bashir Ahmad, 2022. "Existence and Uniqueness Results for Fractional ( p , q )-Difference Equations with Separated Boundary Conditions," Mathematics, MDPI, vol. 10(5), pages 1-15, February.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:5:p:767-:d:760462
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/10/5/767/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/10/5/767/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Moustafa El-Shahed & Wafa M. Shammakh, 2011. "Existence of Positive Solutions for m-Point Boundary Value Problem for Nonlinear Fractional Differential Equation," Abstract and Applied Analysis, Hindawi, vol. 2011, pages 1-20, June.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.

      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:gam:jmathe:v:10:y:2022:i:5:p:767-:d:760462. 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.

      If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with 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: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.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.