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    On a Numerical Approach to Solve Multi Order Fractional Differential Equations With Initial/Boundary Conditions

    Source: Journal of Computational and Nonlinear Dynamics:;2015:;volume( 010 ):;issue: 006::page 61025
    Author:
    Firoozjaee, M. A.
    ,
    Yousefi, S. A.
    ,
    Jafari, H.
    ,
    Baleanu, D.
    DOI: 10.1115/1.4029785
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: In this manuscript, a new method is introduced for solving multiorder fractional differential equations. By transforming the fractional differential equations into an optimization problem and using polynomial basis functions, we obtain the system of algebraic equation. Then, we solve the system of nonlinear algebraic equation and obtain the coefficients of polynomial expansion. Also, we show the convergence of the method. Some numerical examples are presented which illustrate the theoretical results and the performance of the method.
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      On a Numerical Approach to Solve Multi Order Fractional Differential Equations With Initial/Boundary Conditions

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    http://yetl.yabesh.ir/yetl1/handle/yetl/157368
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    contributor authorFiroozjaee, M. A.
    contributor authorYousefi, S. A.
    contributor authorJafari, H.
    contributor authorBaleanu, D.
    date accessioned2017-05-09T01:15:59Z
    date available2017-05-09T01:15:59Z
    date issued2015
    identifier issn1555-1415
    identifier othercnd_010_06_061025.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/157368
    description abstractIn this manuscript, a new method is introduced for solving multiorder fractional differential equations. By transforming the fractional differential equations into an optimization problem and using polynomial basis functions, we obtain the system of algebraic equation. Then, we solve the system of nonlinear algebraic equation and obtain the coefficients of polynomial expansion. Also, we show the convergence of the method. Some numerical examples are presented which illustrate the theoretical results and the performance of the method.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleOn a Numerical Approach to Solve Multi Order Fractional Differential Equations With Initial/Boundary Conditions
    typeJournal Paper
    journal volume10
    journal issue6
    journal titleJournal of Computational and Nonlinear Dynamics
    identifier doi10.1115/1.4029785
    journal fristpage61025
    journal lastpage61025
    identifier eissn1555-1423
    treeJournal of Computational and Nonlinear Dynamics:;2015:;volume( 010 ):;issue: 006
    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