메뉴 건너뛰기




Volumn 41, Issue 4, 2000, Pages 2135-2156

Nonlinear Hamiltonian equations with fractional damping

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0034347155     PISSN: 00222488     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.533231     Document Type: Article
Times cited : (45)

References (37)
  • 1
    • 84972547716 scopus 로고
    • Integro-differential equations which interpolate the heat equation and the wave equation
    • Y. Fujita, "Integro-differential equations which interpolate the heat equation and the wave equation," Osaka J. Math. 27, 309-321 (1990); 27, 797-304 (1990).
    • (1990) Osaka J. Math. , vol.27 , pp. 309-321
    • Fujita, Y.1
  • 2
    • 84972571026 scopus 로고
    • Y. Fujita, "Integro-differential equations which interpolate the heat equation and the wave equation," Osaka J. Math. 27, 309-321 (1990); 27, 797-304 (1990).
    • (1990) Osaka J. Math. , vol.27 , pp. 797-1304
  • 3
    • 0009481303 scopus 로고
    • Fractional diffusion equation
    • W. Wyss, "Fractional diffusion equation," J. Math. Phys. 27, 2782-2785 (1986).
    • (1986) J. Math. Phys. , vol.27 , pp. 2782-2785
    • Wyss, W.1
  • 4
    • 0001553919 scopus 로고
    • Fractional diffusion and wave equations
    • W. R. Schneider and W. Wyss, "Fractional diffusion and wave equations," J. Math. Phys. 30, 134-144 (1989).
    • (1989) J. Math. Phys. , vol.30 , pp. 134-144
    • Schneider, W.R.1    Wyss, W.2
  • 6
    • 43949160695 scopus 로고
    • Fractional model equation for anomalous diffusion
    • R. Metzler, W. G. Glöckle, and T. F. Nonnenmacher, "Fractional model equation for anomalous diffusion," Physica A 211, 13-24 (1994).
    • (1994) Physica A , vol.211 , pp. 13-24
    • Metzler, R.1    Glöckle, W.G.2    Nonnenmacher, T.F.3
  • 7
    • 0030531939 scopus 로고    scopus 로고
    • Fractional-order diffusion-wave equation
    • A. M. A. El-Sayed, "Fractional-order diffusion-wave equation," Int. J. Theor. Phys. 35, 311-322 (1996).
    • (1996) Int. J. Theor. Phys. , vol.35 , pp. 311-322
    • El-Sayed, A.M.A.1
  • 8
    • 0022492943 scopus 로고
    • The realization of the generalized transfer in a medium with fractal geometry
    • R. R. Nigmatullin, "The realization of the generalized transfer in a medium with fractal geometry," Phys. Status Solidi B 133, 425-430 (1986).
    • (1986) Phys. Status Solidi B , vol.133 , pp. 425-430
    • Nigmatullin, R.R.1
  • 10
    • 0039343034 scopus 로고    scopus 로고
    • Asymptotic wavefront expansions in hereditary media with singular memory kernels
    • to be published
    • A. Hanyga and M. Seredyńska, "Asymptotic wavefront expansions in hereditary media with singular memory kernels," Q. Appl. Math. (to be published).
    • Q. Appl. Math.
    • Hanyga, A.1    Seredyńska, M.2
  • 11
    • 0016628745 scopus 로고
    • Asymptotic expansions for transient viscoelastic waves
    • P. W. Buchen and F. Mainardi, "Asymptotic expansions for transient viscoelastic waves," J. Mec. 14, 597-608 (1975).
    • (1975) J. Mec. , vol.14 , pp. 597-608
    • Buchen, P.W.1    Mainardi, F.2
  • 12
    • 0000124490 scopus 로고
    • Automodel solutions of wave equations with time lag
    • A. A. Lokshin and V. E. Rok, "Automodel solutions of wave equations with time lag," Russ. Math. Surveys 33, 243-244 (1978).
    • (1978) Russ. Math. Surveys , vol.33 , pp. 243-244
    • Lokshin, A.A.1    Rok, V.E.2
  • 14
    • 0345298276 scopus 로고    scopus 로고
    • Some effects of the memory kernel singularity on wave propagation and inversion in poroelastic media. I. Forward modeling
    • A. Hanyga and M. Seredyńska, "Some effects of the memory kernel singularity on wave propagation and inversion in poroelastic media. I. Forward modeling," Geophys. J. Int. 137, 319-335 (1999).
    • (1999) Geophys. J. Int. , vol.137 , pp. 319-335
    • Hanyga, A.1    Seredyńska, M.2
  • 15
    • 0040942560 scopus 로고    scopus 로고
    • Asymptotic ray theory in poro- and viscoelastic media
    • A. Hanyga and M. Seredynska, "Asymptotic ray theory in poro- and viscoelastic media," Wave Motion 30, 175-195 (1999).
    • (1999) Wave Motion , vol.30 , pp. 175-195
    • Hanyga, A.1    Seredynska, M.2
  • 16
    • 0000775804 scopus 로고    scopus 로고
    • Simple memory models of attenuation in complex viscoporous media
    • Victoria, BC, 16-20 June
    • A. Hanyga, "Simple memory models of attenuation in complex viscoporous media," in Proceedings of the First Canadian Conference on Nonlinear Solid Mechanics, Victoria, BC, 16-20 June 1999, Vol. 2, pp 420-436.
    • (1999) Proceedings of the First Canadian Conference on Nonlinear Solid Mechanics , vol.2 , pp. 420-436
    • Hanyga, A.1
  • 17
    • 84981825145 scopus 로고
    • Definition of physically consistent damping laws with fractional derivatives
    • H. Beyer and S. Kempfle, "Definition of physically consistent damping laws with fractional derivatives," Z. Angew. Math. Mech. 75, 623-635 (1995).
    • (1995) Z. Angew. Math. Mech. , vol.75 , pp. 623-635
    • Beyer, H.1    Kempfle, S.2
  • 18
    • 24244455970 scopus 로고
    • Response of systems with damping materials modeled using fractional derivatives
    • L. Suarez and A. Shokooh, "Response of systems with damping materials modeled using fractional derivatives," Appl. Mech. Rev. 48, S118-S126 (1995).
    • (1995) Appl. Mech. Rev. , vol.48
    • Suarez, L.1    Shokooh, A.2
  • 19
    • 0002355788 scopus 로고
    • On the fractional order initial value problem and its engineering applications
    • edited by K. Nishimoto College of Engineering, Nihon University, Tokyo
    • R. L. Bagley, "On the fractional order initial value problem and its engineering applications," in Fractional Calculus and its Applications, edited by K. Nishimoto (College of Engineering, Nihon University, Tokyo, 1990), pp. 12-20.
    • (1990) Fractional Calculus and Its Applications , pp. 12-20
    • Bagley, R.L.1
  • 20
    • 0002339320 scopus 로고    scopus 로고
    • The effects of continuously varying the fractional differential order of a chaotic nonlinear system
    • S. Nimmo and A. K. Evans, "The effects of continuously varying the fractional differential order of a chaotic nonlinear system," Chaos Solitons Fractals 10, 1111-1118 (1999).
    • (1999) Chaos Solitons Fractals , vol.10 , pp. 1111-1118
    • Nimmo, S.1    Evans, A.K.2
  • 33
    • 0004201980 scopus 로고
    • Princeton University Press, Princeton
    • D. V. Widder, The Laplace Transform (Princeton University Press, Princeton, 1946).
    • (1946) The Laplace Transform
    • Widder, D.V.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.