IDEAS home Printed from https://ideas.repec.org/a/wly/jjmath/v2025y2025i1n8311840.html

Weighted Weakly Singular Integral Inequalities: New Explicit Bounds and Applications in Fractional Dfferential Equations

Author

Listed:
  • Salah Boulares
  • Djalal Boucenna
  • Mohamed Rhaima
  • Lassaad Mchiri
  • Abdellatif Ben Makhlouf

Abstract

This study delves into the formulation of innovative integral inequalities, specifically designed to accommodate weakly singular singularities, thus significantly broadening the scope of previously established ones. The methodology employed centers around the application of weighted fractional differential equations, leading to the derivation of a diverse array of practical applications for fractional differential equations, all contextualized within the framework of Caputo.

Suggested Citation

  • Salah Boulares & Djalal Boucenna & Mohamed Rhaima & Lassaad Mchiri & Abdellatif Ben Makhlouf, 2025. "Weighted Weakly Singular Integral Inequalities: New Explicit Bounds and Applications in Fractional Dfferential Equations," Journal of Mathematics, John Wiley & Sons, vol. 2025(1).
    • Handle: RePEc:wly:jjmath:v:2025:y:2025:i:1:n:8311840
    DOI: 10.1155/jom/8311840
    as

    Download full text from publisher

    File URL: https://doi.org/10.1155/jom/8311840
    Download Restriction: no
    File URL: https://libkey.io/10.1155/jom/8311840?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
    ---><---

    References listed on IDEAS

    as
    1. Abdellatif Ben Makhlouf & Djalal Boucenna & A.M. Nagy & Lassaad Mchiri & Ching-Feng Wen, 2022. "Some Weakly Singular Integral Inequalities and Their Applications to Tempered Fractional Differential Equations," Journal of Mathematics, Hindawi, vol. 2022, pages 1-9, April.
    2. Abdellatif Ben Makhlouf & Djalal Boucenna & A.M. Nagy & Lassaad Mchiri, 2022. "Some Weakly Singular Integral Inequalities and Their Applications to Tempered Fractional Differential Equations," Journal of Mathematics, John Wiley & Sons, vol. 2022(1).
    3. Abdo, Mohammed S. & Abdeljawad, Thabet & Ali, Saeed M. & Shah, Kamal & Jarad, Fahd, 2020. "Existence of positive solutions for weighted fractional order differential equations," Chaos, Solitons & Fractals, Elsevier, vol. 141(C).
    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. Almalahi, Mohammed A. & Panchal, Satish K. & Jarad, Fahd, 2021. "Stability results of positive solutions for a system of ψ -Hilfer fractional differential equations," Chaos, Solitons & Fractals, Elsevier, vol. 147(C).
    2. Ahmad, Saeed & Rahman, Mati ur & Arfan, Muhammad, 2021. "On the analysis of semi-analytical solutions of Hepatitis B epidemic model under the Caputo-Fabrizio operator," Chaos, Solitons & Fractals, Elsevier, vol. 146(C).
    3. Omar Kahouli & Djalal Boucenna & Abdellatif Ben Makhlouf & Ymnah Alruwaily, 2022. "Some New Weakly Singular Integral Inequalities with Applications to Differential Equations in Frame of Tempered χ -Fractional Derivatives," Mathematics, MDPI, vol. 10(20), pages 1-12, October.

    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:wly:jjmath:v:2025:y:2025:i:1:n:8311840. 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: Wiley Content Delivery (email available below). General contact details of provider: https://onlinelibrary.wiley.com/journal/1469 .

    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.