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    Define the Lyapunov Exponents for ψ-Fractional Differential System

    Source: Journal of Computational and Nonlinear Dynamics:;2023:;volume( 018 ):;issue: 005::page 51001-1
    Author:
    N'Gbo, N'Gbo
    ,
    Tang, Jianhua
    DOI: 10.1115/1.4057041
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: In this article, we focus on the relations between the asymptotics of solutions and the sensitivity to initial values of fractional differential systems. To investigate this problem, we consider the ψ-fractional calculus, which is considered to be a generalization of those of Riemann–Liouville and Hadamard. For this purpose, we define Lyapunov exponents for ψ-fractional differential systems and estimate their upper bounds. Examples are presented to demonstrate the accuracy of our results.
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      Define the Lyapunov Exponents for ψ-Fractional Differential System

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    https://yetl.yabesh.ir/yetl1/handle/yetl/4291591
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    contributor authorN'Gbo, N'Gbo
    contributor authorTang, Jianhua
    date accessioned2023-08-16T18:11:37Z
    date available2023-08-16T18:11:37Z
    date copyright3/20/2023 12:00:00 AM
    date issued2023
    identifier issn1555-1415
    identifier othercnd_018_05_051001.pdf
    identifier urihttp://yetl.yabesh.ir/yetl1/handle/yetl/4291591
    description abstractIn this article, we focus on the relations between the asymptotics of solutions and the sensitivity to initial values of fractional differential systems. To investigate this problem, we consider the ψ-fractional calculus, which is considered to be a generalization of those of Riemann–Liouville and Hadamard. For this purpose, we define Lyapunov exponents for ψ-fractional differential systems and estimate their upper bounds. Examples are presented to demonstrate the accuracy of our results.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleDefine the Lyapunov Exponents for ψ-Fractional Differential System
    typeJournal Paper
    journal volume18
    journal issue5
    journal titleJournal of Computational and Nonlinear Dynamics
    identifier doi10.1115/1.4057041
    journal fristpage51001-1
    journal lastpage51001-9
    page9
    treeJournal of Computational and Nonlinear Dynamics:;2023:;volume( 018 ):;issue: 005
    contenttypeFulltext
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