IDEAS home Printed from https://ideas.repec.org/a/hin/jnlaaa/631419.html
   My bibliography  Save this article

Stability for Caputo Fractional Differential Systems

Author

Listed:
  • Sung Kyu Choi
  • Bowon Kang
  • Namjip Koo

Abstract

We introduce the notion of h -stability for fractional differential systems. Then we investigate the boundedness and h -stability of solutions of Caputo fractional differential systems by using fractional comparison principle and fractional Lyapunov direct method. Furthermore, we give examples to illustrate our results.

Suggested Citation

  • Sung Kyu Choi & Bowon Kang & Namjip Koo, 2014. "Stability for Caputo Fractional Differential Systems," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-6, January.
    • Handle: RePEc:hin:jnlaaa:631419
    DOI: 10.1155/2014/631419
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/AAA/2014/631419.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/AAA/2014/631419.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2014/631419?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. Mangal, Shiv & Misra, O.P. & Dhar, Joydip, 2023. "Fractional-order deterministic epidemic model for the spread and control of HIV/AIDS with special reference to Mexico and India," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 210(C), pages 82-102.
    2. Idris Ahmed & Chanakarn Kiataramkul & Mubarak Muhammad & Jessada Tariboon, 2024. "Existence and Sensitivity Analysis of a Caputo Fractional-Order Diphtheria Epidemic Model," Mathematics, MDPI, vol. 12(13), pages 1-18, June.
    3. Majumdar, Prahlad & Mondal, Bapin & Debnath, Surajit & Ghosh, Uttam, 2022. "Controlling of periodicity and chaos in a three dimensional prey predator model introducing the memory effect," Chaos, Solitons & Fractals, Elsevier, vol. 164(C).
    4. Moustafa, Mahmoud & Mohd, Mohd Hafiz & Ismail, Ahmad Izani & Abdullah, Farah Aini, 2018. "Dynamical analysis of a fractional-order Rosenzweig–MacArthur model incorporating a prey refuge," Chaos, Solitons & Fractals, Elsevier, vol. 109(C), pages 1-13.
    5. Ghosh, Uttam & Pal, Swadesh & Banerjee, Malay, 2021. "Memory effect on Bazykin’s prey-predator model: Stability and bifurcation analysis," Chaos, Solitons & Fractals, Elsevier, vol. 143(C).
    6. Das, Meghadri & Samanta, G.P., 2020. "A delayed fractional order food chain model with fear effect and prey refuge," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 178(C), pages 218-245.
    7. Agus Suryanto & Isnani Darti & Hasan S. Panigoro & Adem Kilicman, 2019. "A Fractional-Order Predator–Prey Model with Ratio-Dependent Functional Response and Linear Harvesting," Mathematics, MDPI, vol. 7(11), pages 1-13, November.

    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:jnlaaa:631419. 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.