IDEAS home Printed from https://ideas.repec.org/a/wsi/fracta/v30y2022i08ns0218348x22402034.html
   My bibliography  Save this article

A Note On Controllability Of Noninstantaneous Impulsive Atangana–Baleanu–Caputo Neutral Fractional Integrodifferential Systems

Author

Listed:
  • KOTTAKKARAN SOOPPY NISAR

    (Department of Mathematics, College of Arts and Sciences, Prince Sattam Bin Abdulaziz University, Wadi Aldawasir 11991, Saudi Arabia)

  • V. VIJAYARAJ

    (Department of Mathematics, Kongunadu Arts and Science College, Coimbatore 641 029, Tamil Nadu, India)

  • N. VALLIAMMAL

    (Department of Mathematics, Sri Eshwar College of Engineering, Coimbatore 641 202, Tamil Nadu, India)

  • K. LOGESWARI

    (Department of Mathematics, Kongunadu Arts and Science College, Coimbatore 641 029, Tamil Nadu, India)

  • C. RAVICHANDRAN

    (Department of Mathematics, Kongunadu Arts and Science College, Coimbatore 641 029, Tamil Nadu, India)

  • ABDEL-HALEEM ABDEL-ATY

    (Department of Physics, College of Sciences, University of Bisha, P. O. Box 344, Bisha 61922, Saudi Arabia)

  • IBRAHIM S. YAHIA

    (Department of Physics, College of Science, King Khalid University, P. O. Box 9004, Abha 61413, Saudi Arabia6Research Center for Advanced Materials Science (RCAMS), King Khalid University, P. O. Box 9004, Abha 61413, Saudi Arabia7Nanoscience Laboratory for Environmental and Biomedical Applications (NLEBA), Metallurgical Laboratory 1, Department of Physics, Faculty of Education, Ain Shams University, Roxy, Cairo 11757, Egypt)

Abstract

This paper describes the required and adequate conditions for controllability and optimal controls of Atangana–Baleanu–Caputo (ABC) neutral fractional integrodifferential equations (NFIE) with noninstantaneous impulses. Measure of noncompactness, semigroup theory, fractional calculus and fixed point techniques act as the main tools in deriving the results. An illustration is offered to enhance our theoretical outcomes.

Suggested Citation

  • Kottakkaran Sooppy Nisar & V. Vijayaraj & N. Valliammal & K. Logeswari & C. Ravichandran & Abdel-Haleem Abdel-Aty & Ibrahim S. Yahia, 2022. "A Note On Controllability Of Noninstantaneous Impulsive Atangana–Baleanu–Caputo Neutral Fractional Integrodifferential Systems," FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 30(08), pages 1-15, December.
    • Handle: RePEc:wsi:fracta:v:30:y:2022:i:08:n:s0218348x22402034
    DOI: 10.1142/S0218348X22402034
    as

    Download full text from publisher

    File URL: http://www.worldscientific.com/doi/abs/10.1142/S0218348X22402034
    Download Restriction: Access to full text is restricted to subscribers
    File URL: https://libkey.io/10.1142/S0218348X22402034?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 search for a different version of it.

    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:wsi:fracta:v:30:y:2022:i:08:n:s0218348x22402034. 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: Tai Tone Lim (email available below). General contact details of provider: https://www.worldscientific.com/worldscinet/fractals .

    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.