IDEAS home Printed from https://ideas.repec.org/a/hin/jnlaaa/205452.html
   My bibliography  Save this article

New Existence Results for Fractional Integrodifferential Equations with Nonlocal Integral Boundary Conditions

Author

Listed:
  • Ahmed Alsaedi
  • Sotiris K. Ntouyas
  • Bashir Ahmad

Abstract

We consider a boundary value problem of fractional integrodifferential equations with new nonlocal integral boundary conditions of the form: , and . According to these conditions, the value of the unknown function at the left end point is proportional to its value at a nonlocal point while the value at an arbitrary (local) point is proportional to the contribution due to a substrip of arbitrary length . These conditions appear in the mathematical modelling of physical problems when different parts (nonlocal points and substrips of arbitrary length) of the domain are involved in the input data for the process under consideration. We discuss the existence of solutions for the given problem by means of the Sadovski fixed point theorem for condensing maps and a fixed point theorem due to O’Regan. Some illustrative examples are also presented.

Suggested Citation

  • Ahmed Alsaedi & Sotiris K. Ntouyas & Bashir Ahmad, 2015. "New Existence Results for Fractional Integrodifferential Equations with Nonlocal Integral Boundary Conditions," Abstract and Applied Analysis, Hindawi, vol. 2015, pages 1-10, March.
    • Handle: RePEc:hin:jnlaaa:205452
    DOI: 10.1155/2015/205452
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/AAA/2015/205452.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/AAA/2015/205452.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2015/205452?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
    ---><---

    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:jnlaaa:205452. 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.