IDEAS home Printed from https://ideas.repec.org/a/wsi/fracta/v30y2022i05ns0218348x22401454.html
   My bibliography  Save this article

A Hybrid Approach For Synchronizing Between Two Reaction–Diffusion Systems Of Integer- And Fractional-Order Applied On Certain Chemical Models

Author

Listed:
  • BO WANG

    (School of Electronic Information and Automation, Aba Teachers University, Wenchuan 623002, China2School of Applied Mathematics, University Electronic Science and Technology of China, Chengdu 610054, China)

  • ADEL OUANNAS

    (Department of Mathematics and Computer Science, University of Larbi Ben Mhidi, Oum El Bouaghi 04000, Algeria)

  • YELIZ KARACA

    (University of Massachusetts Medical School (UMASS), Worcester, MA 01655, USA)

  • WEI-FENG XIA

    (School of Engineering, Huzhou University, Huzhou 313000, P. R. China6Institute for Advanced Study Honoring Chen Jian Gong, Hangzhou Normal University, Hangzhou 311121, P. R. China)

  • HADI JAHANSHAHI

    (Department of Mechanical Engineering, University of Manitoba, Winnipeg, Canada R3T 5V6, Canada)

  • ABDULHAMEED F. ALKHATEEB

    (Department of Electrical and Computer Engineering, Faculty of Engineering, King Abdulaziz University, Jeddah, Saudi Arabia)

  • MAJID NOUR

    (Department of Electrical and Computer Engineering, Faculty of Engineering, King Abdulaziz University, Jeddah, Saudi Arabia)

Abstract

In this study, a synchronization problem for spatio-temporal partial differential systems is addressed and researched within a subjectivist framework. In light of Lyapunov direct method and some proposed nonlinear controllers, a new scheme is established to accomplish a full synchronization between two reaction–diffusion systems of integer- and fractional-order. In particular, a novel vector-valued control law is analytically derived to attain the desired synchronization between two chemical models, namely, the Lengyel–Epstein and Gray–Scott models. To validate the obtained theoretical results, further numerical simulations are carried out in 2D and 3D configurations.

Suggested Citation

  • Bo Wang & Adel Ouannas & Yeliz Karaca & Wei-Feng Xia & Hadi Jahanshahi & Abdulhameed F. Alkhateeb & Majid Nour, 2022. "A Hybrid Approach For Synchronizing Between Two Reaction–Diffusion Systems Of Integer- And Fractional-Order Applied On Certain Chemical Models," FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 30(05), pages 1-11, August.
    • Handle: RePEc:wsi:fracta:v:30:y:2022:i:05:n:s0218348x22401454
    DOI: 10.1142/S0218348X22401454
    as

    Download full text from publisher

    File URL: http://www.worldscientific.com/doi/abs/10.1142/S0218348X22401454
    Download Restriction: Access to full text is restricted to subscribers
    File URL: https://libkey.io/10.1142/S0218348X22401454?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:05:n:s0218348x22401454. 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.