IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v8y2020i2p255-d320839.html
   My bibliography  Save this article

Existence Results for Nonlinear Fractional Problems with Non-Homogeneous Integral Boundary Conditions

Author

Listed:
  • Alberto Cabada

    (Departamento de Estatística, Análise Matemática e Optimización Instituto de Matemáticas, Facultade de Matemáticas, Universidade de Santiago de Compostela, 15782 Santiago de Compostela, Spain
    These authors contributed equally to this work.)

  • Om Kalthoum Wanassi

    (Department of Mathematics, University of Monastir, Monastir 5000, Tunisia
    These authors contributed equally to this work.)

Abstract

This paper deals with the study of the existence and non-existence of solutions of a three-parameter family of nonlinear fractional differential equation with mixed-integral boundary value conditions. We consider the α -Riemann-Liouville fractional derivative, with α ∈ ( 1 , 2 ] . To deduce the existence and non-existence results, we first study the linear equation, by deducing the main properties of the related Green functions. We obtain the optimal set of parameters where the Green function has constant sign. After that, by means of the index theory, the nonlinear boundary value problem is studied. Some examples, at the end of the paper, are showed to illustrate the applicability of the obtained results.

Suggested Citation

  • Alberto Cabada & Om Kalthoum Wanassi, 2020. "Existence Results for Nonlinear Fractional Problems with Non-Homogeneous Integral Boundary Conditions," Mathematics, MDPI, vol. 8(2), pages 1-13, February.
    • Handle: RePEc:gam:jmathe:v:8:y:2020:i:2:p:255-:d:320839
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/8/2/255/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/8/2/255/
    Download Restriction: no
    ---><---

    More about this item

    Keywords

    ;
    ;
    ;
    ;
    ;

    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:gam:jmathe:v:8:y:2020:i:2:p:255-:d:320839. 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: 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.