IDEAS home Printed from https://ideas.repec.org/a/hin/jnlmpe/1490583.html
   My bibliography  Save this article

Analysis of Stochastic Weighted Impulsive Neutral ψ-Hilfer Integro-Fractional Differential System with Delay

Author

Listed:
  • Manzoor Ahmad
  • Akbar Zada
  • Jihad Ahmad
  • Mohamed A. Abd El Salam
  • Ali Ahmadian

Abstract

This paper is devoted to the study of stochastic fractional differential equations. Particularly, we study the existence and uniqueness of solutions of nonlinear stochastic weighted impulsive ψ-Hilfer neutral integro-fractional differential system with infinite delay. We obtain the results with the help of fixed-point theorems and Banach contraction principle. Additionally, we investigate the Ulam–Hyers stability of the solutions using basic schemes of fractional calculus. For application of the theory, we add an example.

Suggested Citation

  • Manzoor Ahmad & Akbar Zada & Jihad Ahmad & Mohamed A. Abd El Salam & Ali Ahmadian, 2022. "Analysis of Stochastic Weighted Impulsive Neutral ψ-Hilfer Integro-Fractional Differential System with Delay," Mathematical Problems in Engineering, Hindawi, vol. 2022, pages 1-23, March.
    • Handle: RePEc:hin:jnlmpe:1490583
    DOI: 10.1155/2022/1490583
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/mpe/2022/1490583.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/mpe/2022/1490583.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2022/1490583?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
    ---><---

    Citations

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


    Cited by:

    1. Rhaima, Mohamed & Mchiri, Lassaad & Ben Makhlouf, Abdellatif & Ahmed, Hassen, 2024. "Ulam type stability for mixed Hadamard and Riemann–Liouville Fractional Stochastic Differential Equations," Chaos, Solitons & Fractals, Elsevier, vol. 178(C).
    2. Kuang, Daipeng & Li, Jianli & Gao, Dongdong & Luo, Danfeng, 2024. "Stochastic near-optimal control for a system with Markovian switching and Lévy noise," Chaos, Solitons & Fractals, Elsevier, vol. 178(C).

    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:hin:jnlmpe:1490583. 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: Mohamed Abdelhakeem (email available below). General contact details of provider: https://www.hindawi.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.