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Volumn 5 A, Issue , 2003, Pages 789-798

Initial condition problems of fractional viscoelastic equations

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; DAMPING; DEGREES OF FREEDOM (MECHANICS); DIFFERENTIAL EQUATIONS; FUNCTIONS; INITIAL VALUE PROBLEMS; NUMERICAL METHODS; PROBLEM SOLVING;

EID: 1842785417     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1115/detc2003/vib-48394     Document Type: Conference Paper
Times cited : (4)

References (15)
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  • 2
    • 0039776528 scopus 로고    scopus 로고
    • Damping Properties of the Viscoelastic Material Described by Fractional Kelvin-Voigt Model
    • Ser. C
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    • (1999) JSME J , vol.42 , Issue.1 , pp. 1-9
    • Zhang, W.1    Shimizu, N.2
  • 3
    • 0020765202 scopus 로고
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    • (1983) J. of Rheology , vol.27 , Issue.3 , pp. 201
    • Bagley, R.L.1    Torvik, P.J.2
  • 4
    • 0020751558 scopus 로고
    • Fractional Calculus - A Different Approach to the Analysis of Viscoelasticity Damped Structures
    • Bagley, R.L. and Torvik, P.J., Fractional Calculus - A Different Approach to the Analysis of Viscoelasticity Damped Structures, AIAA J., Vol. 21 (1983b), p. 741
    • (1983) AIAA J. , vol.21 , pp. 741
    • Bagley, R.L.1    Torvik, P.J.2
  • 5
    • 0022076968 scopus 로고
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    • Bagley, R.L. and Torvik, P.J., Fractional Calculus in the Transient Analysis of Viscoelastically Damped Structures, AIAA J., Vol. 23, No. 20 (1985), p. 918
    • (1985) AIAA J. , vol.23 , Issue.20 , pp. 918
    • Bagley, R.L.1    Torvik, P.J.2
  • 6
    • 0022660581 scopus 로고
    • On the Fractional Calculus Model of Viscoelastic Behavior
    • Bagley, R.L. and Torvik, P.J., On the Fractional Calculus Model of Viscoelastic Behavior, J. of Rheology, Vol. 30, No. 1 (1986), p. 133.
    • (1986) J. of Rheology , vol.30 , Issue.1 , pp. 133
    • Bagley, R.L.1    Torvik, P.J.2
  • 8
    • 0027146124 scopus 로고
    • Representation of the Absorption of Nonlinear Waves by fractional derivatives
    • Ochmann, M. and Makalov, S., Representation of the Absorption of Nonlinear Waves by fractional derivatives, J. Amer. Acoust. Soc., Vol.94, No. 6 (1993), 3392.
    • (1993) J. Amer. Acoust. Soc. , vol.94 , Issue.6 , pp. 3392
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  • 9
    • 0036650827 scopus 로고    scopus 로고
    • Dynamics and Control of Initialized Fractional-Order Systems
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  • 10
    • 1842700709 scopus 로고    scopus 로고
    • A Difference method for Initial Value Problems for Ordinary Fractional Differential Equations
    • Fukunaga, M., A Difference method for Initial Value Problems for Ordinary Fractional Differential Equations, International Journ. Appl. Math., Vol. 8, No. 2 (2002a), p. 127.
    • (2002) International Journ. Appl. Math. , vol.8 , Issue.2 , pp. 127
    • Fukunaga, M.1
  • 11
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  • 12
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    • A Difference Method for Initial Value Problems for Ordinary Fractional Differential Equations. II
    • accepted
    • Fukunaga, M., A Difference Method for Initial Value Problems for Ordinary Fractional Differential Equations. II, accepted by the International Journ. Appl. Math., (2002c).
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    • Fukunaga, M.1
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  • 14
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    • Caputo, M.1
  • 15
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    • On uniqueness of the Solutions of Initial Value Problems in Fractional Differential Equations. II
    • accepted
    • Fukunaga, M., On uniqueness of the Solutions of Initial Value Problems in Fractional Differential Equations. II, accepted by the International Journ. Appl. Math., (2002d).
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    • Fukunaga, M.1


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