YaBeSH Engineering and Technology Library

    • Journals
    • PaperQuest
    • YSE Standards
    • YaBeSH
    • Login
    View Item 
    •   YE&T Library
    • ASME
    • Journal of Computational and Nonlinear Dynamics
    • View Item
    •   YE&T Library
    • ASME
    • Journal of Computational and Nonlinear Dynamics
    • View Item
    • All Fields
    • Source Title
    • Year
    • Publisher
    • Title
    • Subject
    • Author
    • DOI
    • ISBN
    Advanced Search
    JavaScript is disabled for your browser. Some features of this site may not work without it.

    Archive

    An Estimate of the Bound of the Lyapunov Exponents for Caputo–Hadamard Fractional Differential System

    Source: Journal of Computational and Nonlinear Dynamics:;2021:;volume( 016 ):;issue: 007::page 071002-1
    Author:
    Li, Changpin
    ,
    Yin, Chuntao
    DOI: 10.1115/1.4051024
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: This paper is devoted to estimating the bound of the Lyapunov exponents for the Caputo–Hadamard fractional differential system. First, using the Gronwall inequality, we analyze the continuous dependence of the solution to the Caputo–Hadamard fractional initial value problem (IVP). Then, we define the Lyapunov exponents for the Caputo–Hadamard fractional differential system and estimate their bounds. Besides, numerical examples are displayed which support the theoretical results.
    • Download: (433.1Kb)
    • Show Full MetaData Hide Full MetaData
    • Get RIS
    • Item Order
    • Go To Publisher
    • Price: 5000 Rial
    • Statistics

      An Estimate of the Bound of the Lyapunov Exponents for Caputo–Hadamard Fractional Differential System

    URI
    http://yetl.yabesh.ir/yetl1/handle/yetl/4278708
    Collections
    • Journal of Computational and Nonlinear Dynamics

    Show full item record

    contributor authorLi, Changpin
    contributor authorYin, Chuntao
    date accessioned2022-02-06T05:45:55Z
    date available2022-02-06T05:45:55Z
    date copyright5/18/2021 12:00:00 AM
    date issued2021
    identifier issn1555-1415
    identifier othercnd_016_07_071002.pdf
    identifier urihttp://yetl.yabesh.ir/yetl1/handle/yetl/4278708
    description abstractThis paper is devoted to estimating the bound of the Lyapunov exponents for the Caputo–Hadamard fractional differential system. First, using the Gronwall inequality, we analyze the continuous dependence of the solution to the Caputo–Hadamard fractional initial value problem (IVP). Then, we define the Lyapunov exponents for the Caputo–Hadamard fractional differential system and estimate their bounds. Besides, numerical examples are displayed which support the theoretical results.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleAn Estimate of the Bound of the Lyapunov Exponents for Caputo–Hadamard Fractional Differential System
    typeJournal Paper
    journal volume16
    journal issue7
    journal titleJournal of Computational and Nonlinear Dynamics
    identifier doi10.1115/1.4051024
    journal fristpage071002-1
    journal lastpage071002-8
    page8
    treeJournal of Computational and Nonlinear Dynamics:;2021:;volume( 016 ):;issue: 007
    contenttypeFulltext
    DSpace software copyright © 2002-2015  DuraSpace
    نرم افزار کتابخانه دیجیتال "دی اسپیس" فارسی شده توسط یابش برای کتابخانه های ایرانی | تماس با یابش
    yabeshDSpacePersian
     
    DSpace software copyright © 2002-2015  DuraSpace
    نرم افزار کتابخانه دیجیتال "دی اسپیس" فارسی شده توسط یابش برای کتابخانه های ایرانی | تماس با یابش
    yabeshDSpacePersian