IDEAS home Printed from https://ideas.repec.org/a/hin/jnlmpe/6598682.html
   My bibliography  Save this article

Existence and Uniqueness of Uncertain Fractional Backward Difference Equations of Riemann–Liouville Type

Author

Listed:
  • Pshtiwan Othman Mohammed
  • Thabet Abdeljawad
  • Fahd Jarad
  • Yu-Ming Chu

Abstract

In this article, we consider the analytic solutions of the uncertain fractional backward difference equations in the sense of Riemann–Liouville fractional operators which are solved by using the Picard successive iteration method. Also, we consider the existence and uniqueness theorem of the solution to an uncertain fractional backward difference equation via the Banach contraction fixed-point theorem under the conditions of Lipschitz constant and linear combination growth. Finally, we point out some examples to confirm the validity of the existence and uniqueness of the solution.

Suggested Citation

  • Pshtiwan Othman Mohammed & Thabet Abdeljawad & Fahd Jarad & Yu-Ming Chu, 2020. "Existence and Uniqueness of Uncertain Fractional Backward Difference Equations of Riemann–Liouville Type," Mathematical Problems in Engineering, Hindawi, vol. 2020, pages 1-8, October.
    • Handle: RePEc:hin:jnlmpe:6598682
    DOI: 10.1155/2020/6598682
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/MPE/2020/6598682.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/MPE/2020/6598682.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2020/6598682?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. Pshtiwan Othman Mohammed & José António Tenreiro Machado & Juan L. G. Guirao & Ravi P. Agarwal, 2021. "Adomian Decomposition and Fractional Power Series Solution of a Class of Nonlinear Fractional Differential Equations," Mathematics, MDPI, vol. 9(9), pages 1-18, May.
    2. Lu, Ziqiang & Zhu, Yuanguo, 2022. "Nonlinear impulsive problems for uncertain fractional differential equations," Chaos, Solitons & Fractals, Elsevier, vol. 157(C).

    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:6598682. 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.