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    On Abstract Fractional Order Telegraph Equation

    Source: Journal of Computational and Nonlinear Dynamics:;2010:;volume( 005 ):;issue: 002::page 21008
    Author:
    Mohamed A. E. Herzallah
    ,
    Dumitru Baleanu
    DOI: 10.1115/1.4000824
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: During the last decades, there has been a great deal of interest in fractional differential equations and their applications in various fields of science and engineering. In this paper, we give a new model of the abstract fractional order telegraph equation and we study the existence and uniqueness theorems of the strong and mild solutions as well as the continuation of this solution. To illustrate the obtained results, two examples were analyzed in detail.
    keyword(s): Theorems (Mathematics) AND Equations ,
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      On Abstract Fractional Order Telegraph Equation

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    https://yetl.yabesh.ir/yetl1/handle/yetl/142737
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    contributor authorMohamed A. E. Herzallah
    contributor authorDumitru Baleanu
    date accessioned2017-05-09T00:36:50Z
    date available2017-05-09T00:36:50Z
    date copyrightApril, 2010
    date issued2010
    identifier issn1555-1415
    identifier otherJCNDDM-25712#021008_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/142737
    description abstractDuring the last decades, there has been a great deal of interest in fractional differential equations and their applications in various fields of science and engineering. In this paper, we give a new model of the abstract fractional order telegraph equation and we study the existence and uniqueness theorems of the strong and mild solutions as well as the continuation of this solution. To illustrate the obtained results, two examples were analyzed in detail.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleOn Abstract Fractional Order Telegraph Equation
    typeJournal Paper
    journal volume5
    journal issue2
    journal titleJournal of Computational and Nonlinear Dynamics
    identifier doi10.1115/1.4000824
    journal fristpage21008
    identifier eissn1555-1423
    keywordsTheorems (Mathematics) AND Equations
    treeJournal of Computational and Nonlinear Dynamics:;2010:;volume( 005 ):;issue: 002
    contenttypeFulltext
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