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    A Formula of Solutions for Non-Autonomous Linear Difference Equations With a Fractional Forward Operator

    Source: Journal of Computational and Nonlinear Dynamics:;2023:;volume( 018 ):;issue: 007::page 71006-1
    Author:
    Dassios, Ioannis
    ,
    Tzounas, Georgios
    ,
    Milano, Federico
    DOI: 10.1115/1.4062300
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: In this article, we define a fractional forward discrete operator. Then, for a family of linear nonautonomous fractional difference equations constructed by using this fractional discrete operator, we provide a practical formula of solutions. This family of problems covers several linear fractional difference equations that appear in the literature. Numerical examples are given to justify our theory.
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      A Formula of Solutions for Non-Autonomous Linear Difference Equations With a Fractional Forward Operator

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    https://yetl.yabesh.ir/yetl1/handle/yetl/4291658
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    contributor authorDassios, Ioannis
    contributor authorTzounas, Georgios
    contributor authorMilano, Federico
    date accessioned2023-08-16T18:13:31Z
    date available2023-08-16T18:13:31Z
    date copyright4/21/2023 12:00:00 AM
    date issued2023
    identifier issn1555-1415
    identifier othercnd_018_07_071006.pdf
    identifier urihttp://yetl.yabesh.ir/yetl1/handle/yetl/4291658
    description abstractIn this article, we define a fractional forward discrete operator. Then, for a family of linear nonautonomous fractional difference equations constructed by using this fractional discrete operator, we provide a practical formula of solutions. This family of problems covers several linear fractional difference equations that appear in the literature. Numerical examples are given to justify our theory.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleA Formula of Solutions for Non-Autonomous Linear Difference Equations With a Fractional Forward Operator
    typeJournal Paper
    journal volume18
    journal issue7
    journal titleJournal of Computational and Nonlinear Dynamics
    identifier doi10.1115/1.4062300
    journal fristpage71006-1
    journal lastpage71006-5
    page5
    treeJournal of Computational and Nonlinear Dynamics:;2023:;volume( 018 ):;issue: 007
    contenttypeFulltext
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