-
2
-
-
0020765202
-
A theoretical basis for the application of fractional calculus to viscoelasticity
-
Baglegy, R. L., and Torvik, P. J. (1983). "A theoretical basis for the application of fractional calculus to viscoelasticity," J. Rheol. 27, 201-210.
-
(1983)
J. Rheol.
, vol.27
, pp. 201-210
-
-
Baglegy, R.L.1
Torvik, P.J.2
-
3
-
-
0011032162
-
Transient solution for sound radiated into a viscous fluid
-
Blackstock, D. T. (1967). "Transient solution for sound radiated into a viscous fluid," J. Acoust. Soc. Am. 41, 1312-1319.
-
(1967)
J. Acoust. Soc. Am.
, vol.41
, pp. 1312-1319
-
-
Blackstock, D.T.1
-
4
-
-
84977255207
-
Linear models of dissipation whose Q is almost frequency independent. II
-
Caputo, M. (1967). "Linear models of dissipation whose Q is almost frequency independent. II," Geophys. J. R. Astron. Soc. 13, 529-539.
-
(1967)
Geophys. J. R. Astron. Soc.
, vol.13
, pp. 529-539
-
-
Caputo, M.1
-
5
-
-
0000930143
-
A new dissipation model based on memory mechanism
-
Caputo, M., and Mainardi, F. (1971). "A new dissipation model based on memory mechanism," Pure Appl. Geophys. 91, 134-147.
-
(1971)
Pure Appl. Geophys.
, vol.91
, pp. 134-147
-
-
Caputo, M.1
Mainardi, F.2
-
6
-
-
84872478275
-
Fractional Laplacian time-space models and Lévy stable distribution for linear and nonlinear frequency-dependent lossy media
-
No. 2002-2009
-
Chen, W., and Holm, S. (2002). "Fractional Laplacian time-space models and Lévy stable distribution for linear and nonlinear frequency-dependent lossy media," Research Report of Simula Research Laboratory, No. 2002-09.
-
(2002)
Research Report of Simula Research Laboratory
-
-
Chen, W.1
Holm, S.2
-
7
-
-
0001618393
-
An algorithm for the numerical solution of differential equations of fractional order
-
Diethelm, K. (1997). "An algorithm for the numerical solution of differential equations of fractional order," Electronic Trans. Numer. Anal. 5, 1-6.
-
(1997)
Electronic Trans. Numer. Anal.
, vol.5
, pp. 1-6
-
-
Diethelm, K.1
-
8
-
-
33646634223
-
-
Diethelm, K. (2000)
-
Diethelm, K. (2000).
-
-
-
-
9
-
-
0037081673
-
Analysis of fractional differential equations
-
Diethelm, K., and Ford, N. J. (2002). "Analysis of fractional differential equations," J. Math. Anal. Appl. 265, 229-248.
-
(2002)
J. Math. Anal. Appl.
, vol.265
, pp. 229-248
-
-
Diethelm, K.1
Ford, N.J.2
-
11
-
-
0032632750
-
The influence of damping on waves and vibrations
-
Gaul, L. (1999). "The influence of damping on waves and vibrations," Mech. Syst. Signal Process. 13(1), 1-30.
-
(1999)
Mech. Syst. Signal Process
, vol.13
, Issue.1
, pp. 1-30
-
-
Gaul, L.1
-
12
-
-
0033624265
-
Numerical simulation of ultrasound-thermotherapy combining nonlinear wave propagation with broadband soft-tissue absorption
-
Ginter, S. (2000). "Numerical simulation of ultrasound-thermotherapy combining nonlinear wave propagation with broadband soft-tissue absorption," Ultrasonics 27, 693-696.
-
(2000)
Ultrasonics
, vol.27
, pp. 693-696
-
-
Ginter, S.1
-
14
-
-
34547639814
-
Multi-dimensional solutions of space-fractional diffusion equations
-
Hanyga, A. (2001). "Multi-dimensional solutions of space-fractional diffusion equations," Proc. R. Soc. London, Ser. A 457, 2993-3005.
-
(2001)
Proc. R. Soc. London, Ser. A
, vol.457
, pp. 2993-3005
-
-
Hanyga, A.1
-
15
-
-
0031698487
-
Simulation of ultrasound pulse propagation in lossy media obeying a frequency power law
-
He, P. (1998). "Simulation of ultrasound pulse propagation in lossy media obeying a frequency power law," IEEE Trans. Ultra. Ferro. Freq. Contr. 45(1), 114-125.
-
(1998)
IEEE Trans. Ultra. Ferro. Freq. Contr.
, vol.45
, Issue.1
, pp. 114-125
-
-
He, P.1
-
18
-
-
0026219915
-
Fractional-derivative Maxwell model for viscous dampers
-
Makris, N., and Constantinou, M. C. (1991). "Fractional-derivative Maxwell model for viscous dampers," J. Struct. Eng. 117(9), 2708-2724.
-
(1991)
J. Struct. Eng.
, vol.117
, Issue.9
, pp. 2708-2724
-
-
Makris, N.1
Constantinou, M.C.2
-
19
-
-
0035263371
-
A k-space method for large-scale models of wave propa-gation in tissue
-
Mast, T. D., Souriau, L. P., Liu, D. L., Tabei, M., Nachman, A. I., and Wagg, R. C. (2001). "A k-space method for large-scale models of wave propa-gation in tissue," IEEE Trans. Ultrason. Ferroelectr. Freq. Control 48(2), 341-354.
-
(2001)
IEEE Trans. Ultrason. Ferroelectr. Freq. Control
, vol.48
, Issue.2
, pp. 341-354
-
-
Mast, T.D.1
Souriau, L.P.2
Liu, D.L.3
Tabei, M.4
Nachman, A.I.5
Wagg, R.C.6
-
20
-
-
0012378241
-
Energy decay for wave equations with damping of fractional order
-
Matignon, D., Audounet, J., and Montseny, G. (1998). "Energy decay for wave equations with damping of fractional order," LAAS Report 98031 .
-
(1998)
LAAS Report 98031
-
-
Matignon, D.1
Audounet, J.2
Montseny, G.3
-
21
-
-
0025036253
-
An equation for acoustic propagation in inhomogeneous media with relaxation losses
-
Nachman, A. I., Smith, J., and Waag, R. C. (1990). "An equation for acoustic propagation in inhomogeneous media with relaxation losses," J. Acoust. Soc. Am. 88(3), 1584-1595.
-
(1990)
J. Acoust. Soc. Am.
, vol.88
, Issue.3
, pp. 1584-1595
-
-
Nachman, A.I.1
Smith, J.2
Waag, R.C.3
-
22
-
-
0027146124
-
Representation of the absorption of nonlinear waves by fractional derivative
-
Ochmann, M., and Makarov, S. (1993). "Representation of the absorption of nonlinear waves by fractional derivative," J. Acoust. Soc. Am. 94(6), 3392-3399.
-
(1993)
J. Acoust. Soc. Am.
, vol.94
, Issue.6
, pp. 3392-3399
-
-
Ochmann, M.1
Makarov, S.2
-
25
-
-
0004161838
-
-
(Cambridge University Press, Cambridge), Chaps. 18.2 and 18.3, Volterra Equations
-
Press, W. H., Flannery, B. P., Teukolsky, S. A., and Vetterling, W. T. (1992). Numerical Recipes in FORTRAN: The Art of Scientific Computing, 2nd ed. (Cambridge University Press, Cambridge), Chaps. 18.2 and 18.3, pp. 786-794, Volterra Equations.
-
(1992)
Numerical Recipes in FORTRAN: The Art of Scientific Computing, 2nd Ed.
, pp. 786-794
-
-
Press, W.H.1
Flannery, B.P.2
Teukolsky, S.A.3
Vetterling, W.T.4
-
26
-
-
0030867045
-
Applications of fractional calculus to dynamic problems of linear and nonlinear hereditary mechanics of solids
-
Rossikhin, Y. A., and Shitikova, M. V. (1997). "Applications of fractional calculus to dynamic problems of linear and nonlinear hereditary mechanics of solids," ASME Appl. Mech. Rev. 50, 15-67.
-
(1997)
ASME Appl. Mech. Rev.
, vol.50
, pp. 15-67
-
-
Rossikhin, Y.A.1
Shitikova, M.V.2
-
27
-
-
0003598080
-
-
Gordon and Breach Science, New York
-
Samko, S. G., Kilbas, A. A., and Marichev, O. I. (1987). Fractional Integrals and Derivatives: Theory and Applications (Gordon and Breach Science, New York).
-
(1987)
Fractional Integrals and Derivatives: Theory and Applications
-
-
Samko, S.G.1
Kilbas, A.A.2
Marichev, O.I.3
-
28
-
-
0034347155
-
Nonlinear Hamiltonian equations with fractional damping
-
Seredynska, M., and Hanyga, A. (2000). "Nonlinear Hamiltonian equations with fractional damping," J. Math. Phys. 41, 2135-2156.
-
(2000)
J. Math. Phys.
, vol.41
, pp. 2135-2156
-
-
Seredynska, M.1
Hanyga, A.2
-
29
-
-
0242459435
-
Time Domain Nonlinear Wave Equations for Lossy Media
-
edited by H. Hobaek (World Scientific, Singapore)
-
Szabo, T. L. (1993). "Time Domain Nonlinear Wave Equations for Lossy Media," in Advances in Nonlinear Acoustics: Proceedings of the 13th ISNA, edited by H. Hobaek (World Scientific, Singapore), pp. 89-94.
-
(1993)
Advances in Nonlinear Acoustics: Proceedings of the 13th ISNA
, pp. 89-94
-
-
Szabo, T.L.1
-
30
-
-
0028292355
-
Time domain wave equations for lossy media obeying a frequency power law
-
Szabo, T. L. (1994a). "Time domain wave equations for lossy media obeying a frequency power law," J. Acoust. Soc. Am. 96(1), 491-500.
-
(1994)
J. Acoust. Soc. Am.
, vol.96
, Issue.1
, pp. 491-500
-
-
Szabo, T.L.1
-
31
-
-
0028976328
-
Causal theories and data for acoustic attenuation obeying a frequency power law
-
Szabo, T. L. (1994b). "Causal theories and data for acoustic attenuation obeying a frequency power law," J. Acoust. Soc. Am. 97(1), 14-24.
-
(1994)
J. Acoust. Soc. Am.
, vol.97
, Issue.1
, pp. 14-24
-
-
Szabo, T.L.1
-
32
-
-
0034071987
-
A model for longitudinal and shear wave propagation in viscoelastic media
-
Szabo, T. L., and Wu, J. (2000). "A model for longitudinal and shear wave propagation in viscoelastic media," J. Acoust. Soc. Am. 107(5), 2437-2446.
-
(2000)
J. Acoust. Soc. Am.
, vol.107
, Issue.5
, pp. 2437-2446
-
-
Szabo, T.L.1
Wu, J.2
-
33
-
-
0029409111
-
An explicit numerical time domain formulation to simulate pulsed pressure waves in viscous fluids exhibiting arbitrary frequency power law attenuation
-
Wismer, M., and Ludwig, R. (1995). "An explicit numerical time domain formulation to simulate pulsed pressure waves in viscous fluids exhibiting arbitrary frequency power law attenuation," IEEE Trans. Ultrason. Ferroelectr. Freq. Control 42(6), 1040-1049.
-
(1995)
IEEE Trans. Ultrason. Ferroelectr. Freq. Control
, vol.42
, Issue.6
, pp. 1040-1049
-
-
Wismer, M.1
Ludwig, R.2
-
34
-
-
0029452335
-
Nonlinear modelling of therapeutic ultrasound
-
Wojcik, G., Mould, J., Lizzi, Jr., F., Abboud, N., Ostromogilsky, M., and Vaughan, D. (1995). "Nonlinear modelling of therapeutic ultrasound," 1995 IEEE Ultrasonics Symposium Proceedings, pp. 1617-1622.
-
(1995)
1995 IEEE Ultrasonics Symposium Proceedings
, pp. 1617-1622
-
-
Wojcik, G.1
Mould, J.2
Lizzi F., Jr.3
Abboud, N.4
Ostromogilsky, M.5
Vaughan, D.6
-
35
-
-
0032762691
-
Simulation of acoustic wave propagation in dispersive media with relaxation losses by using FDTD method with PML absorbing boundary condition
-
Yuan, X., Borup, D., and Wiskin, J. (1999). "Simulation of acoustic wave propagation in dispersive media with relaxation losses by using FDTD method with PML absorbing boundary condition," IEEE Trans. Ultrason. Ferroelectr. Freq. Control 46(1), 14-23.
-
(1999)
IEEE Trans. Ultrason. Ferroelectr. Freq. Control
, vol.46
, Issue.1
, pp. 14-23
-
-
Yuan, X.1
Borup, D.2
Wiskin, J.3
|