IDEAS home Printed from https://ideas.repec.org/a/hin/jnlmpe/8608447.html
   My bibliography  Save this article

Stability of Fractional Differential Equations with New Generalized Hattaf Fractional Derivative

Author

Listed:
  • Khalid Hattaf

Abstract

This paper aims to study the stability of fractional differential equations involving the new generalized Hattaf fractional derivative which includes the most types of fractional derivatives with nonsingular kernels. The stability analysis is obtained by means of the Lyapunov direct method. First, some fundamental results and lemmas are established in order to achieve the goal of this study. Furthermore, the results related to exponential and Mittag–Leffler stability existing in recent studies are extended and generalized. Finally, illustrative examples are presented to show the applicability of our main results in some areas of science and engineering.

Suggested Citation

  • Khalid Hattaf, 2021. "Stability of Fractional Differential Equations with New Generalized Hattaf Fractional Derivative," Mathematical Problems in Engineering, Hindawi, vol. 2021, pages 1-7, December.
    • Handle: RePEc:hin:jnlmpe:8608447
    DOI: 10.1155/2021/8608447
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/MPE/2021/8608447.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/MPE/2021/8608447.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2021/8608447?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. Younoussi, Majda El & Hajhouji, Zakaria & Hattaf, Khalid & Yousfi, Noura, 2022. "Dynamics of a reaction-diffusion fractional-order model for M1 oncolytic virotherapy with CTL immune response," Chaos, Solitons & Fractals, Elsevier, vol. 157(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:8608447. 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.