IDEAS home Printed from https://ideas.repec.org/a/wsi/fracta/v31y2023i02ns0218348x23400248.html
   My bibliography  Save this article

Existence Results For Multi-Term Fractional Differential Equations With Nonlocal Boundary Conditions Involving Atangana–Baleanu Derivative

Author

Listed:
  • AHSAN ABBAS

    (Department of Mathematics and Statistics, International Islamic University, Sector H-10, Islamabad, Pakistan)

  • NAYYAR MEHMOOD

    (Department of Mathematics and Statistics, International Islamic University, Sector H-10, Islamabad, Pakistan)

  • ALI AKGÃœL

    (Department of Computer Science and Mathematics, Lebanese American University, Beirut, Lebanon3Department of Mathematics, Faculty of Arts and Sciences, Siirt University, 56100 Siirt, Turkey4Mathematics Research Center, Department of Mathematics, Faculty of Arts and Sciences, Near East University, Near East Boulevard, 99138 Nicosia/TRNC Mersin 10, Turkey)

  • THABET ABDELJAWAD

    (Department of Mathematics and Sciences, Prince Sultan University, P. O. Box 66833, Riyadh 11586, Saudi Arabia6Department of Medical Research, China Medical University, Taichung 40402, Taiwan7Department of Mathematics, Kyung Hee University, 26 Kyungheedae-ro, Dongdaemun-gu, Seoul 02447, Republic of Korea)

  • MANAR A. ALQUDAH

    (Department of Mathematical Sciences, Faculty of Sciences, Princess Nourah Bint Abdulrahman University, P. O. Box 84428, Riyadh 11671, Saudi Arabia)

Abstract

In this paper, the existence results for the solutions of the multi-term ABC-fractional differential boundary value problem (BVP) (δ20ABCDα+2 + δ 10ABCDα+1 + δ 00ABCDα)x(t) = ζ(t,x(t)) of order 0 < α < 1 with nonlocal boundary conditions have been derived by using Krasnoselskii’s fixed point theorem. The uniqueness of the solution is obtained with the help of Banach contraction principle. Examples are provided to confirm our obtained results.

Suggested Citation

  • Ahsan Abbas & Nayyar Mehmood & Ali Akgãœl & Thabet Abdeljawad & Manar A. Alqudah, 2023. "Existence Results For Multi-Term Fractional Differential Equations With Nonlocal Boundary Conditions Involving Atangana–Baleanu Derivative," FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 31(02), pages 1-19.
    • Handle: RePEc:wsi:fracta:v:31:y:2023:i:02:n:s0218348x23400248
    DOI: 10.1142/S0218348X23400248
    as

    Download full text from publisher

    File URL: http://www.worldscientific.com/doi/abs/10.1142/S0218348X23400248
    Download Restriction: Access to full text is restricted to subscribers
    File URL: https://libkey.io/10.1142/S0218348X23400248?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
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    Citations

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


    Cited by:

    1. Lazebnik, Teddy & Bunimovich-Mendrazitsky, Svetlana & Kiselyov, Alex, 2023. "Mathematical model for BCG-based treatment of type 1 diabetes," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 622(C).

    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:wsi:fracta:v:31:y:2023:i:02:n:s0218348x23400248. 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: Tai Tone Lim (email available below). General contact details of provider: https://www.worldscientific.com/worldscinet/fractals .

    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.