IDEAS home Printed from https://ideas.repec.org/a/wly/jjmath/v2022y2022i1n3346115.html

Existence of Solutions for a Coupled System of p‐Laplacian Caputo–Hadamard Fractional Sturm–Liouville–Langevin Equations with Antiperiodic Boundary Conditions

Author

Listed:
  • Jinbo Ni
  • Jifeng Zhang
  • Wei Zhang

Abstract

Fractional Sturm–Liouville and Langevin equations have recently attracted much attention. In this paper, we investigate a coupled system of fractional Sturm–Liouville–Langevin equations with antiperiodic boundary conditions in the framework of Caputo–Hadamard fractional derivative. Comparing with the existing literature, we study fractional differential equations with a p‐Laplacian operator, which will enrich and generalize the previous work. Based on the Leray–Schauder nonlinear alternative and Krasnoselskii’s fixed point theorem, some interesting existence results are obtained. Finally, an example is constructed to illustrate our main results.

Suggested Citation

  • Jinbo Ni & Jifeng Zhang & Wei Zhang, 2022. "Existence of Solutions for a Coupled System of p‐Laplacian Caputo–Hadamard Fractional Sturm–Liouville–Langevin Equations with Antiperiodic Boundary Conditions," Journal of Mathematics, John Wiley & Sons, vol. 2022(1).
    • Handle: RePEc:wly:jjmath:v:2022:y:2022:i:1:n:3346115
    DOI: 10.1155/2022/3346115
    as

    Download full text from publisher

    File URL: https://doi.org/10.1155/2022/3346115
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2022/3346115?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. Lahcen Ibnelazyz & Karim Guida & Khalid Hilal & Said Melliani, 2021. "New Existence of Solutions for Fractional Integro-Differential Equations with Nonseparated Boundary Conditions," Mathematical Problems in Engineering, Hindawi, vol. 2021, pages 1-13, June.
    2. Lahcen Ibnelazyz & Karim Guida & Khalid Hilal & Said Melliani & Nan-Jing Huang, 2021. "Existence of Solution for a Fractional Langevin System with Nonseparated Integral Boundary Conditions," Journal of Mathematics, Hindawi, vol. 2021, pages 1-16, March.
    3. Bashir Ahmad & Ahmed Alsaedi & Sotiris K. Ntouyas & Jessada Tariboon, 2017. "Hadamard-Type Fractional Differential Equations, Inclusions and Inequalities," Springer Books, Springer, number 978-3-319-52141-1, January.
    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. Chen Yang, 2022. "Existence and Uniqueness of Solutions for a Third‐Order Three‐Point Boundary Value Problem via Measure of Noncompactness," Journal of Mathematics, John Wiley & Sons, vol. 2022(1).
    2. Chanakarn Kiataramkul & Sotiris K. Ntouyas & Jessada Tariboon, 2021. "Existence Results for ψ‐Hilfer Fractional Integro‐Differential Hybrid Boundary Value Problems for Differential Equations and Inclusions," Advances in Mathematical Physics, John Wiley & Sons, vol. 2021(1).
    3. Athasit Wongcharoen & Bashir Ahmad & Sotiris K. Ntouyas & Jessada Tariboon, 2020. "Three‐Point Boundary Value Problems for the Langevin Equation with the Hilfer Fractional Derivative," Advances in Mathematical Physics, John Wiley & Sons, vol. 2020(1).
    4. Yang, Fan & Li, Si-Ying & Li, Xiao-Xiao, 2025. "Inverse random source problem for the stochastic Caputo–Hadamard time-fractional diffusion equation driven by fractional Brownian motion," Chaos, Solitons & Fractals, Elsevier, vol. 201(P2).
    5. Abdelkrim Salim & Mouffak Benchohra & Jamal Eddine Lazreg & Gaston N’Guérékata, 2021. "Boundary Value Problem for Nonlinear Implicit Generalized Hilfer‐Type Fractional Differential Equations with Impulses," Abstract and Applied Analysis, John Wiley & Sons, vol. 2021(1).
    6. Athasit Wongcharoen & Sotiris K. Ntouyas & Phollakrit Wongsantisuk & Jessada Tariboon, 2021. "Existence Results for a Nonlocal Coupled System of Sequential Fractional Differential Equations Involving ψ‐Hilfer Fractional Derivatives," Advances in Mathematical Physics, John Wiley & Sons, vol. 2021(1).

    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:2022:y:2022:i:1:n:3346115. 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.