-
2
-
-
64249112464
-
Anumerical scheme for initial compliance and creep response of a system
-
Agrawal OP (2009) Anumerical scheme for initial compliance and creep response of a system. Mech Res Commun 36:444-451
-
(2009)
Mech Res. Commun.
, vol.36
, pp. 444-451
-
-
Agrawal, O.P.1
-
3
-
-
15544379984
-
Numerical simulations of fractional systems: An overview of existing methods and improvements
-
Aoun M, Malti R, Levron F, Oustaloup A (2004) Numerical simulations of fractional systems: an overview of existing methods and improvements. Nonlinear Dyn 38:117-131
-
(2004)
Nonlinear Dyn
, vol.38
, pp. 117-131
-
-
Aoun, M.1
Malti, R.2
Levron, F.3
Oustaloup, A.4
-
4
-
-
35748971717
-
Anomalous diffusion in inhomogeneous media: Some exact results
-
Arkhincheev VE (1993) Anomalous diffusion in inhomogeneous media: some exact results. Model Meas Control A 26(2):11-29
-
(1993)
Model Meas Control a
, vol.26
, Issue.2
, pp. 11-29
-
-
Arkhincheev, V.E.1
-
5
-
-
0020751558
-
Fractional calculus-a different approach to the analysis of viscoelastically damped structures
-
Bagley RL, Torvik PJ (1983) Fractional calculus-a different approach to the analysis of viscoelastically damped structures. AIAA J 21:741-748
-
(1983)
AIAA J.
, vol.21
, pp. 741-748
-
-
Bagley, R.L.1
Torvik, P.J.2
-
6
-
-
0020765202
-
Atheoretical basis for the application of fractional calculus to viscoelasticity
-
Bagley RL, Torvik PJ (1983) Atheoretical basis for the application of fractional calculus to viscoelasticity. J Rheol 27(3):203-210
-
(1983)
J. Rheol
, vol.27
, Issue.3
, pp. 203-210
-
-
Bagley, R.L.1
Torvik, P.J.2
-
8
-
-
65849395624
-
A continued-fraction approach for transient diffusion in unboundedmedium
-
Birk C, Song C (2009) A continued-fraction approach for transient diffusion in unboundedmedium. Comput Methods Appl Mech Eng 198:2576-2590
-
(2009)
Comput Methods Appl. Mech Eng
, vol.198
, pp. 2576-2590
-
-
Birk, C.1
Song, C.2
-
9
-
-
77953610661
-
A local high-order doubly asymptotic open boundary for diffusion in a semi-infinite layer
-
Birk C, Song C (2010) A local high-order doubly asymptotic open boundary for diffusion in a semi-infinite layer. J Comput Phys 229:6156-6179
-
(2010)
J. Comput Phys.
, vol.229
, pp. 6156-6179
-
-
Birk, C.1
Song, C.2
-
10
-
-
84877655853
-
Approximations of fractional capacitors (1/s) (1/n) by a regular newton process
-
Carlson GE, Halijak CA (1964) Approximations of fractional capacitors (1/s) (1/n) by a regular newton process. IRE Trans Circuit Theory CT-11(2):210-213
-
(1964)
IRE Trans Circuit Theory
, vol.CT-11
, Issue.2
, pp. 210-213
-
-
Carlson, G.E.1
Halijak, C.A.2
-
11
-
-
15544372160
-
Continued fraction expansion approaches to discretizing fractional order derivatives - An expository review
-
Chen Y, Vinagre BM, Podlubny I (2004) Continued fraction expansion approaches to discretizing fractional order derivatives - an expository review. Nonlinear Dyn 38:155-170
-
(2004)
Nonlinear Dyn
, vol.38
, pp. 155-170
-
-
Chen, Y.1
Vinagre, B.M.2
Podlubny, I.3
-
13
-
-
42149141688
-
An investigation of some nonclassical methods for the numerical approximation of Caputo-type fractional derivatives
-
Diethelm K (2008) An investigation of some nonclassical methods for the numerical approximation of Caputo-type fractional derivatives. Numer Algorithms 47:361-390
-
(2008)
Numer Algorithms
, vol.47
, pp. 361-390
-
-
Diethelm, K.1
-
14
-
-
76049087706
-
An improvement of a nonclassical numerical method for the computation of fractional derivatives
-
Diethelm K (2009) An improvement of a nonclassical numerical method for the computation of fractional derivatives. J Vib Acoust 131
-
(2009)
J. Vib Acoust
, vol.131
-
-
Diethelm, K.1
-
15
-
-
0025387251
-
Application of fractional derivatives to seismic analysis of base-isolated models
-
Koh CG, Kelly JM (1990) Application of fractional derivatives to seismic analysis of base-isolated models. Earthq Eng Struct Dyn 19:229-241
-
(1990)
Earthq Eng Struct Dyn
, vol.19
, pp. 229-241
-
-
Koh, C.G.1
Kelly, J.M.2
-
16
-
-
19744367302
-
Wave field simulation for heterogeneous porous media with singular memory drag force
-
Lu JF, Hanyga A (2005) Wave field simulation for heterogeneous porous media with singular memory drag force. J Comput Phys 208:651-674
-
(2005)
J. Comput Phys.
, vol.208
, pp. 651-674
-
-
Lu, J.F.1
Hanyga, A.2
-
17
-
-
0033888365
-
Frequencyband complex noninteger differentiator: Characterization and synthesis
-
Oustaloup A, Levron F, Mathieu B, Nanot FM (2000) Frequencyband complex noninteger differentiator: characterization and synthesis. IEEE Trans Circuits Syst I Fundam Theory Appl 47(1):25-39
-
(2000)
IEEE Trans Circuits Syst I Fundam Theory Appl.
, vol.47
, Issue.1
, pp. 25-39
-
-
Oustaloup, A.1
Levron, F.2
Mathieu, B.3
Nanot, F.M.4
-
19
-
-
0036650890
-
Analogue realizations of fractional-order controllers
-
Podlubny I, Petrás I, Vinagre BM, O'Leary P, Dorčák L (2002) Analogue realizations of fractional-order controllers. Nonlinear Dyn 29:281-296
-
(2002)
Nonlinear Dyn
, vol.29
, pp. 281-296
-
-
Podlubny, I.1
Petrás, I.2
Vinagre, B.M.3
O'Leary, P.4
Dorčák, L.5
-
20
-
-
0030867045
-
Applications of fractional calculus to dynamic problems of linear and nonlinear hereditary mechanics of solids
-
Rossikhin YA, Shitikova MV (1997) Applications of fractional calculus to dynamic problems of linear and nonlinear hereditary mechanics of solids. Appl Mech Rev 50(1):15-67
-
(1997)
Appl. Mech Rev.
, vol.50
, Issue.1
, pp. 15-67
-
-
Rossikhin, Y.A.1
Shitikova, M.V.2
-
21
-
-
0010174001
-
On the realization of a constant-argument immitance or fractional operator
-
Roy SCD (1967) On the realization of a constant-argument immitance or fractional operator. IEEE Trans Circuit Theory 14(3):264-274
-
(1967)
IEEE Trans Circuit Theory
, vol.14
, Issue.3
, pp. 264-274
-
-
Roy, S.C.D.1
-
22
-
-
15544369500
-
Consistent modelling of infinite beams by fractional dynamics
-
Ruge P, Trinks C (2004) Consistent modelling of infinite beams by fractional dynamics. Nonlinear Dyn 38:267-284
-
(2004)
Nonlinear Dyn
, vol.38
, pp. 267-284
-
-
Ruge, P.1
Trinks, C.2
-
23
-
-
0012299325
-
Time-domain solutions for vibration systems with fading memory
-
Wunderlich W ed, Munich, published on CD-ROM
-
Ruge P, Wagner N (1999) Time-domain solutions for vibration systems with fading memory. In: Wunderlich W (ed) European conference on computationalmechanics, Munich, pp 367-374, published on CD-ROM
-
(1999)
European Conference on Computationalmechanics
, pp. 367-374
-
-
Ruge, P.1
Wagner, N.2
-
24
-
-
26444463136
-
On a critique of a numerical scheme for the calculation of fractionally damped dynamical systems
-
Schmidt A, Gaul L (2006) On a critique of a numerical scheme for the calculation of fractionally damped dynamical systems. Mech Res Commun 33:99-107
-
(2006)
Mech Res. Commun.
, vol.33
, pp. 99-107
-
-
Schmidt, A.1
Gaul, L.2
-
26
-
-
0033471671
-
A comparison of numerical methods applied to a fractional model of damping materials
-
Shokooh A, Suarez L (1999) A comparison of numerical methods applied to a fractional model of damping materials. J Vib Control 5:331-354
-
(1999)
J. Vib Control
, vol.5
, pp. 331-354
-
-
Shokooh, A.1
Suarez, L.2
-
27
-
-
0021439912
-
On the appearance of the fractional derivative in the behavior of real materials
-
Torvik PJ, Bagley RL (1984) On the appearance of the fractional derivative in the behavior of real materials. J Appl Mech 51:294-298
-
(1984)
J. Appl. Mech
, vol.51
, pp. 294-298
-
-
Torvik, P.J.1
Bagley, R.L.2
-
28
-
-
15544374118
-
Description of wave propagation by fading memory
-
Grundmann H, Schuëller GI eds
-
Trinks C, Ruge P (2002) Description of wave propagation by fading memory. In: Grundmann H, Schuëller GI (eds) Structural dynamics - Eurodyn 2002, Swets & Zeitlinger B. V., Munich, pp 711-716
-
(2002)
Structural Dynamics - Eurodyn 2002, Swets & Zeitlinger B. V., Munich
, pp. 711-716
-
-
Trinks, C.1
Ruge, P.2
-
29
-
-
0036869926
-
Treatment of dynamic systems with fractional derivatives without evaluating memory-integrals
-
Trinks C, Ruge P (2002) Treatment of dynamic systems with fractional derivatives without evaluating memory-integrals. Comput Mech 29:471-476
-
(2002)
Comput Mech
, vol.29
, pp. 471-476
-
-
Trinks, C.1
Ruge, P.2
-
30
-
-
0033881047
-
Computation of fractional derivatives using fourier transform and digital FIR differentiator
-
Tseng CC, Pei SC, Hsia SC (2000) Computation of fractional derivatives using fourier transform and digital FIR differentiator. Signal Process 80:151-159
-
(2000)
Signal Process
, vol.80
, pp. 151-159
-
-
Tseng, C.C.1
Pei, S.C.2
Hsia, S.C.3
-
31
-
-
0001611264
-
Some approximations of fractional order operators used in control theory and applications
-
Vinagre BM, Podlubny I, Hernandez A, Feliu V (2000) Some approximations of fractional order operators used in control theory and applications. Fract Calculus Appl Anal 3(3):231-248
-
(2000)
Fract Calculus Appl. Anal.
, vol.3
, Issue.3
, pp. 231-248
-
-
Vinagre, B.M.1
Podlubny, I.2
Hernandez, A.3
Feliu, V.4
-
32
-
-
0036554885
-
A numerical scheme for dynamic systems containing fractional derivatives
-
Yuan L, Agrawal OP (2002) A numerical scheme for dynamic systems containing fractional derivatives. J Vib Acoust 124:321-324
-
(2002)
J. Vib Acoust
, vol.124
, pp. 321-324
-
-
Yuan, L.1
Agrawal, O.P.2
-
33
-
-
0032154290
-
Numerical algorithm for dynamic problems involving fractional operators
-
Zhang W, Shimizu N (1998) Numerical algorithm for dynamic problems involving fractional operators. JSME Int J Ser C 41(3):364-370
-
(1998)
JSME Int. J. Ser C
, vol.41
, Issue.3
, pp. 364-370
-
-
Zhang, W.1
Shimizu, N.2
|