IDEAS home Printed from https://ideas.repec.org/a/eee/apmaco/v510y2026ics0096300325004047.html

On solutions of a coupled system of quantum integral equations in Banach spaces

Author

Listed:
  • Sahebi, Hamid Reza
  • Kazemi, Manochehr
  • Metwali, Mohamed M.A.

Abstract

This attempt studies the existence of solutions for a coupled system of quantum integral and quadratic integral equations via generalized Darbo’s fixed point theorem, namely, Petryshyan’s fixed point theorem. Finally, we conclude with a concrete numerical example, which confirms that our results can apply to a wide range of quantum integral equations.

Suggested Citation

  • Sahebi, Hamid Reza & Kazemi, Manochehr & Metwali, Mohamed M.A., 2026. "On solutions of a coupled system of quantum integral equations in Banach spaces," Applied Mathematics and Computation, Elsevier, vol. 510(C).
    • Handle: RePEc:eee:apmaco:v:510:y:2026:i:c:s0096300325004047
    DOI: 10.1016/j.amc.2025.129678
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0096300325004047
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.amc.2025.129678?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

    for a different version of it.

    References listed on IDEAS

    as
    1. Ahmed Alsaedi & Bashir Ahmad & Hana Al-Hutami, 2013. "A Study of Nonlinear Fractional q‐Difference Equations with Nonlocal Integral Boundary Conditions," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    2. Ravi P. Agarwal & Bashir Ahmad & Ahmed Alsaedi & Hana Al-Hutami, 2014. "Existence Theory for q‐Antiperiodic Boundary Value Problems of Sequential q‐Fractional Integrodifferential Equations," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    3. Sen, Mausumi & Saha, Dipankar & Agarwal, R.P., 2019. "A Darbo fixed point theory approach towards the existence of a functional integral equation in a Banach algebra," Applied Mathematics and Computation, Elsevier, vol. 358(C), pages 111-118.
    4. Muath Awadalla & Kinda Abuasbeh & Murugesan Manigandan & Ahmed A. Al Ghafli & Hassan J. Al Salman & Yusuf Gurefe, 2023. "Applicability of Darbo’s Fixed Point Theorem on the Existence of a Solution to Fractional Differential Equations of Sequential Type," Journal of Mathematics, Hindawi, vol. 2023, pages 1-19, April.
    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.
    1. Ravi P. Agarwal & Bashir Ahmad & Ahmed Alsaedi & Hana Al-Hutami, 2014. "Existence Theory for q‐Antiperiodic Boundary Value Problems of Sequential q‐Fractional Integrodifferential Equations," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    2. Ateq Alsaadi & Mieczysław Cichoń & Mohamed M. A. Metwali, 2022. "Integrable Solutions for Gripenberg-Type Equations with m -Product of Fractional Operators and Applications to Initial Value Problems," Mathematics, MDPI, vol. 10(7), pages 1-18, April.
    3. Deep, Amar & Deepmala, & Hazarika, Bipan, 2021. "An existence result for Hadamard type two dimensional fractional functional integral equations via measure of noncompactness," Chaos, Solitons & Fractals, Elsevier, vol. 147(C).
    4. Mohamed M. A. Metwali & Manochehr Kazemi & Shami A. M. Alsallami, 2025. "On the Solution of n‐Product of 2D‐Hadamard–Volterra Integral Equations in Banach Algebra," Journal of Mathematics, John Wiley & Sons, vol. 2025(1).

    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:eee:apmaco:v:510:y:2026:i:c:s0096300325004047. 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: Catherine Liu (email available below). General contact details of provider: https://www.journals.elsevier.com/applied-mathematics-and-computation .

    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.