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    Atangana–Baleanu Semilinear Fractional Differential Inclusions With Infinite Delay: Existence and Approximate Controllability

    Source: Journal of Computational and Nonlinear Dynamics:;2022:;volume( 018 ):;issue: 002::page 21005-1
    Author:
    Williams, W. Kavitha
    ,
    Vijayakumar, V.
    ,
    Nisar, Kottakkaran Sooppy
    ,
    Shukla, Anurag
    DOI: 10.1115/1.4056357
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: The main focus of this paper is centered around approximate controllability results of Atangana–Baleanu fractional differential systems with infinite delay. Using principles and ideas from the theory of multivalued maps, fractional calculus, and Bohnenblust–Karlin fixed point techniques, the key findings are established. We begin by emphasizing the existence of mild solutions, and then demonstrate the approximate controllability of the Atangana–Baleanu fractional control system. We then apply our findings to the theory of the neutral system.
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      Atangana–Baleanu Semilinear Fractional Differential Inclusions With Infinite Delay: Existence and Approximate Controllability

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    http://yetl.yabesh.ir/yetl1/handle/yetl/4294767
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    contributor authorWilliams, W. Kavitha
    contributor authorVijayakumar, V.
    contributor authorNisar, Kottakkaran Sooppy
    contributor authorShukla, Anurag
    date accessioned2023-11-29T19:27:03Z
    date available2023-11-29T19:27:03Z
    date copyright12/20/2022 12:00:00 AM
    date issued12/20/2022 12:00:00 AM
    date issued2022-12-20
    identifier issn1555-1415
    identifier othercnd_018_02_021005.pdf
    identifier urihttp://yetl.yabesh.ir/yetl1/handle/yetl/4294767
    description abstractThe main focus of this paper is centered around approximate controllability results of Atangana–Baleanu fractional differential systems with infinite delay. Using principles and ideas from the theory of multivalued maps, fractional calculus, and Bohnenblust–Karlin fixed point techniques, the key findings are established. We begin by emphasizing the existence of mild solutions, and then demonstrate the approximate controllability of the Atangana–Baleanu fractional control system. We then apply our findings to the theory of the neutral system.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleAtangana–Baleanu Semilinear Fractional Differential Inclusions With Infinite Delay: Existence and Approximate Controllability
    typeJournal Paper
    journal volume18
    journal issue2
    journal titleJournal of Computational and Nonlinear Dynamics
    identifier doi10.1115/1.4056357
    journal fristpage21005-1
    journal lastpage21005-18
    page18
    treeJournal of Computational and Nonlinear Dynamics:;2022:;volume( 018 ):;issue: 002
    contenttypeFulltext
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