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    Analysis and Numerical Solutions for Fractional Stochastic Evolution Equations With Almost Sectorial Operators

    Source: Journal of Computational and Nonlinear Dynamics:;2019:;volume( 014 ):;issue: 009::page 91001
    Author:
    Ding, Xiao-Li
    ,
    Nieto, Juan J.
    DOI: 10.1115/1.4043725
    Publisher: American Society of Mechanical Engineers (ASME)
    Abstract: Fractional stochastic evolution equations often arise in theory and applications. Finding exact solutions of such equations is impossible in most cases. In this paper, our main goal is to establish the existence and uniqueness of mild solutions of the equations, and give a numerical method for approximating such mild solutions. The numerical method is based on a combination of subspaces decomposition technique and waveform relaxation method, which is called a frequency decomposition waveform relaxation method. Moreover, the convergence of the frequency decomposition waveform relaxation method is discussed in detail. Finally, several illustrative examples are presented to confirm the validity and applicability of the proposed numerical method.
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      Analysis and Numerical Solutions for Fractional Stochastic Evolution Equations With Almost Sectorial Operators

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    http://yetl.yabesh.ir/yetl1/handle/yetl/4258040
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    contributor authorDing, Xiao-Li
    contributor authorNieto, Juan J.
    date accessioned2019-09-18T09:01:47Z
    date available2019-09-18T09:01:47Z
    date copyright6/10/2019 12:00:00 AM
    date issued2019
    identifier issn1555-1415
    identifier othercnd_014_09_091001
    identifier urihttp://yetl.yabesh.ir/yetl1/handle/yetl/4258040
    description abstractFractional stochastic evolution equations often arise in theory and applications. Finding exact solutions of such equations is impossible in most cases. In this paper, our main goal is to establish the existence and uniqueness of mild solutions of the equations, and give a numerical method for approximating such mild solutions. The numerical method is based on a combination of subspaces decomposition technique and waveform relaxation method, which is called a frequency decomposition waveform relaxation method. Moreover, the convergence of the frequency decomposition waveform relaxation method is discussed in detail. Finally, several illustrative examples are presented to confirm the validity and applicability of the proposed numerical method.
    publisherAmerican Society of Mechanical Engineers (ASME)
    titleAnalysis and Numerical Solutions for Fractional Stochastic Evolution Equations With Almost Sectorial Operators
    typeJournal Paper
    journal volume14
    journal issue9
    journal titleJournal of Computational and Nonlinear Dynamics
    identifier doi10.1115/1.4043725
    journal fristpage91001
    journal lastpage091001-12
    treeJournal of Computational and Nonlinear Dynamics:;2019:;volume( 014 ):;issue: 009
    contenttypeFulltext
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    DSpace software copyright © 2002-2015  DuraSpace
    نرم افزار کتابخانه دیجیتال "دی اسپیس" فارسی شده توسط یابش برای کتابخانه های ایرانی | تماس با یابش
    yabeshDSpacePersian