IDEAS home Printed from https://ideas.repec.org/a/hin/jjmath/7257000.html
   My bibliography  Save this article

On Solution of Nonlinear Integral and Fractional Differential Equations via Discontinuous Nonlinear Contractions

Author

Listed:
  • Santosh Kumar
  • Anita Tomar
  • Gopi Prasad
  • Guotao Wang

Abstract

The aim of this research work is to demonstrate the survival of exactly one common fixed point for nonlinear contractions without assuming containment of range spaces of an involved pair of mappings, commutativity, and continuity (or any of their weaker forms). It is interesting to note that these findings involve different techniques of proof and comparatively fewerassumptions related to underlying mappings to find the existence of common fixed points of certain mappings. In this way, such investigations are generalizations and improvements over the several prominent recent results of the existing literature. For the application part, we solve the system of nonlinear integral equations of Fredholm and Volterra type and fractional differential equation of Caputo type to validate our results. Moreover, we validate the main conclusion with the help of an example.

Suggested Citation

  • Santosh Kumar & Anita Tomar & Gopi Prasad & Guotao Wang, 2022. "On Solution of Nonlinear Integral and Fractional Differential Equations via Discontinuous Nonlinear Contractions," Journal of Mathematics, Hindawi, vol. 2022, pages 1-11, December.
    • Handle: RePEc:hin:jjmath:7257000
    DOI: 10.1155/2022/7257000
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/jmath/2022/7257000.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/jmath/2022/7257000.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2022/7257000?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
    ---><---

    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:jjmath:7257000. 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.