-
4
-
-
0036650479
-
A predictor-corrector approach for the numerical solution of fractional differential equations
-
DOI 10.1023/A:1016592219341, Fractional Order Calculus and Its Applications
-
K. Diethelm N.J. Ford A.D. Freed 2002 Predictor-corrector approach for the numerical solution of fractional differential equations Nonlinear Dyn. 29 3 22 1009.65049 10.1023/A:1016592219341 1926466 (Pubitemid 34945390)
-
(2002)
Nonlinear Dynamics
, vol.29
, Issue.1-4
, pp. 3-22
-
-
Diethelm, K.1
Ford, N.J.2
Freed, A.D.3
-
6
-
-
0018711554
-
An ordinary differential equation from the theory of plasticity
-
0424.73031 10.1007/BF00247709 533288
-
J.L. Buhite D.R. Owen 1979 An ordinary differential equation from the theory of plasticity Arch. Ration. Mech. Anal. 71 357 383 0424.73031 10.1007/BF00247709 533288
-
(1979)
Arch. Ration. Mech. Anal.
, vol.71
, pp. 357-383
-
-
Buhite, J.L.1
Owen, D.R.2
-
8
-
-
0011655670
-
Multivalued differential equations and dry friction problems
-
A.M. Fink R.K. Miller W. Kliemann (eds). World Scientific Singapore
-
Deimling, K.: Multivalued differential equations and dry friction problems. In: Fink, A.M.; Miller, R.K.; Kliemann, W. (eds.) Proc. Conf. Delay and Differential Equations, pp. 99-106. World Scientific, Singapore (1992)
-
(1992)
Proc. Conf. Delay and Differential Equations
, pp. 99-106
-
-
Deimling, K.1
-
9
-
-
84963198817
-
An algorithm to solve boundary value problem for differential equations and applications in optimal control
-
0666.49001 10.1080/01630568908816328 1019491
-
K. Schilling 1989 An algorithm to solve boundary value problem for differential equations and applications in optimal control Numer. Funct. Anal. Optim. 10 733 764 0666.49001 10.1080/01630568908816328 1019491
-
(1989)
Numer. Funct. Anal. Optim.
, vol.10
, pp. 733-764
-
-
Schilling, K.1
-
11
-
-
0026124343
-
Fractional order state equations for the control of viscoelastically damped structures
-
10.2514/3.20641
-
R.L. Bagley R.A. Calico 1991 Fractional order state equations for the control of viscoelastically damped structures J. Guid. Control Dyn. 14 304 311 10.2514/3.20641
-
(1991)
J. Guid. Control Dyn.
, vol.14
, pp. 304-311
-
-
Bagley, R.L.1
Calico, R.A.2
-
14
-
-
0021424253
-
Linear approximation of transfer function with a pole of fractional order
-
0532.93025 10.1109/TAC.1984.1103551
-
H.H. Sun A.A. Abdelwahad B. Onaral 1984 Linear approximation of transfer function with a pole of fractional order IEEE Trans. Autom. Control 29 441 444 0532.93025 10.1109/TAC.1984.1103551
-
(1984)
IEEE Trans. Autom. Control
, vol.29
, pp. 441-444
-
-
Sun, H.H.1
Abdelwahad, A.A.2
Onaral, B.3
-
16
-
-
0010178279
-
An analog simulation of noninteger order transfer functions for analysis of electrode process
-
M. Ichise Y. Nagayanagi T. Kojima 1971 An analog simulation of noninteger order transfer functions for analysis of electrode process J. Electroanal. Chem. 33 253 265
-
(1971)
J. Electroanal. Chem.
, vol.33
, pp. 253-265
-
-
Ichise, M.1
Nagayanagi, Y.2
Kojima, T.3
-
17
-
-
0036650890
-
Analogue realizations of fractional-order controllers
-
DOI 10.1023/A:1016556604320, Fractional Order Calculus and Its Applications
-
I. Podlubny I. Petráš B.M. Vinagre P. O'Leary L. Dorcák 2002 Analogue realization of fractional-order controllers Nonlinear Dyn. 29 1-4 281 296 1041.93022 10.1023/A:1016556604320 (Pubitemid 34945402)
-
(2002)
Nonlinear Dynamics
, vol.29
, Issue.1-4
, pp. 281-296
-
-
Podlubny, I.1
Petras, I.2
Vinagre, B.M.3
O'Leary, P.4
Dorcak, L.5
-
19
-
-
0000378977
-
Quantum Levy processes and fractional kinetics
-
10.1103/PhysRevLett.82.1136
-
D. Kusnezov A. Bulgac G.D. Dang 1999 Quantum Levy processes and fractional kinetics Phys. Rev. Lett. 82 1136 1139 10.1103/PhysRevLett.82.1136
-
(1999)
Phys. Rev. Lett.
, vol.82
, pp. 1136-1139
-
-
Kusnezov, D.1
Bulgac, A.2
Dang, G.D.3
-
20
-
-
0000723353
-
Converging multistep methods for initial value problems involving multivalued maps
-
0465.65038 10.1007/BF02243546 632123
-
K. Taubert 1981 Converging multistep methods for initial value problems involving multivalued maps Computing 27 123 136 0465.65038 10.1007/BF02243546 632123
-
(1981)
Computing
, vol.27
, pp. 123-136
-
-
Taubert, K.1
-
21
-
-
0026876816
-
Difference methods for differential inclusions
-
0757.34018 10.1137/1034050 1166177
-
A. Dontchev F. Lempio 1992 Difference methods for differential inclusions SIAM Rev. 34 263 294 0757.34018 10.1137/1034050 1166177
-
(1992)
SIAM Rev.
, vol.34
, pp. 263-294
-
-
Dontchev, A.1
Lempio, F.2
-
22
-
-
84963458704
-
Difference methods with selection strategies for differential inclusions
-
0807.65085 10.1080/01630569308816539 1248128
-
A. Kastner-Maresch F. Lempio 1993 Difference methods with selection strategies for differential inclusions Numer. Funct. Anal. Optim. 14 555 572 0807.65085 10.1080/01630569308816539 1248128
-
(1993)
Numer. Funct. Anal. Optim.
, vol.14
, pp. 555-572
-
-
Kastner-Maresch, A.1
Lempio, F.2
-
23
-
-
0036489528
-
On a possible approximation of discontinuous dynamical systems
-
DOI 10.1016/S0960-0779(01)00002-9, PII S0960077901000029
-
M.-F. Danca S. Codreanu 2002 On a possible approximation of discontinuous dynamical systems Chaos Solitons Fractals 13 681 691 1046.34015 10.1016/S0960-0779(01)00002-9 1870476 (Pubitemid 32951314)
-
(2002)
Chaos, Solitons and Fractals
, vol.13
, Issue.4
, pp. 681-691
-
-
Danca, M.-F.1
Codreanu, S.2
-
24
-
-
0037081673
-
Analysis of fractional differential equations
-
1014.34003 10.1006/jmaa.2000.7194 1876137
-
K. Diethelm N.J. Ford 2002 Analysis of fractional differential equations J. Math. Anal. Appl. 265 229 248 1014.34003 10.1006/jmaa.2000.7194 1876137
-
(2002)
J. Math. Anal. Appl.
, vol.265
, pp. 229-248
-
-
Diethelm, K.1
Ford, N.J.2
-
25
-
-
0001618393
-
An algorithm for the numerical solution of differential equations of fractional order
-
K. Diethelm 1997 An algorithm for the numerical solution of differential equations of fractional order Electron. Trans. Numer. Anal. 5 1 6 0890.65071 1447831 (Pubitemid 38870919)
-
(1997)
Electronic Transactions on Numerical Analysis
, vol.5
, pp. 1-6
-
-
Diethelm, K.1
-
26
-
-
0000717432
-
Discretized fractional calculus
-
0624.65015 10.1137/0517050 838249
-
C. Lubich 1986 Discretized fractional calculus SIAM J. Math. Anal. 17 704 719 0624.65015 10.1137/0517050 838249
-
(1986)
SIAM J. Math. Anal.
, vol.17
, pp. 704-719
-
-
Lubich, C.1
-
27
-
-
0033471671
-
A comparison of numerical methods applied to a fractional model of damping materials
-
10.1177/107754639900500301
-
A. Shokooh L.E. Suarez 1999 A comparison of numerical methods applied to a fractional model of damping materials J. Vib. Control 5 331 354 10.1177/107754639900500301
-
(1999)
J. Vib. Control
, vol.5
, pp. 331-354
-
-
Shokooh, A.1
Suarez, L.E.2
-
29
-
-
0004161838
-
-
2 Cambridge University Press Cambridge 0845.65001
-
Press, W.H.; Teukolsky, S.A.; Vetterling, W.T.; Flannery, B.P.: Numerical Recipes in C, The Art of Scientific Computing, 2nd edn. Cambridge University Press, Cambridge (1992)
-
(1992)
Numerical Recipes in C, the Art of Scientific Computing
-
-
Press, W.H.1
Teukolsky, S.A.2
Vetterling, W.T.3
Flannery, B.P.4
-
30
-
-
0026928376
-
Fractal system as represented by singularity function
-
DOI 10.1109/9.159595
-
A. Charef H.H. Sun Y.Y. Tsao B. Onaral 1992 Fractal system as represented by singularity function IEEE Trans. Automat. Control 37 1465 1470 0825.58027 10.1109/9.159595 1183117 (Pubitemid 23555835)
-
(1992)
IEEE Transactions on Automatic Control
, vol.37
, Issue.9
, pp. 1465-1470
-
-
Charef, A.1
Sun, H.H.2
Tsao, Y.Y.3
Onaral, B.4
-
31
-
-
67449110445
-
Chaos in the fractional-order Volta's system: Modeling and simulation
-
1176.34050 10.1007/s11071-008-9429-0
-
I. Petráš 2009 Chaos in the fractional-order Volta's system: modeling and simulation Nonlinear Dyn. 57 1-2 157 170 1176.34050 10.1007/s11071-008-9429-0
-
(2009)
Nonlinear Dyn.
, vol.57
, Issue.12
, pp. 157-170
-
-
Petráš, I.1
-
32
-
-
0037332868
-
Chaos in fractional-order autonomous nonlinear systems
-
DOI 10.1016/S0960-0779(02)00438-1, PII S0960077902004381
-
W.M. Ahmad J.C. Sprott 2003 Chaos in fractional-order autonomous nonlinear systems Chaos Solitons Fractals 16 339 351 1033.37019 10.1016/S0960-0779(02)00438-1 (Pubitemid 35412185)
-
(2003)
Chaos, Solitons and Fractals
, vol.16
, Issue.2
, pp. 339-351
-
-
Ahmad, W.M.1
Sprott, J.C.2
-
33
-
-
0029359880
-
Chaos in a fractional order Chua's system
-
10.1109/81.404062
-
T.T. Hartley C.F. Lorenzo H.K. Qammer 1995 Chaos in a fractional order Chua's system IEEE T. Circuits-I 42 8 485 490 10.1109/81.404062
-
(1995)
IEEE T. Circuits-I
, vol.42
, Issue.8
, pp. 485-490
-
-
Hartley, T.T.1
Lorenzo, C.F.2
Qammer, H.K.3
-
34
-
-
0011850736
-
Chaos in a fractional order Duffing system
-
Budapest, September
-
Arena, P.; Caponetto, R.; Fortuna, L.; Porto, D.: Chaos in a fractional order Duffing system. In: Proceedings ECCTD, Budapest, September, pp. 1259-1262 (1997)
-
(1997)
Proceedings ECCTD
, pp. 1259-1262
-
-
Arena, P.1
Caponetto, R.2
Fortuna, L.3
Porto, D.4
-
35
-
-
70449574688
-
Chaos in the fractional-order Lorenz system
-
1169.65115 10.1080/00207160701864426 2537927
-
X.-J. Wu S.-L. Shen 2009 Chaos in the fractional-order Lorenz system Int. J. Comput. Math. 86 7 1274 1282 1169.65115 10.1080/00207160701864426 2537927
-
(2009)
Int. J. Comput. Math.
, vol.86
, Issue.7
, pp. 1274-1282
-
-
Wu, X.-J.1
Shen, S.-L.2
-
36
-
-
33646366905
-
Chaotic dynamics of the fractional-order Lü system and its synchronization
-
DOI 10.1016/j.physleta.2006.01.068, PII S0375960106001551
-
J.G. Lu 2006 Chaotic dynamics of the fractional-order Lü system and its synchronization Phys. Lett. A 354 305 311 10.1016/j.physleta.2006.01.068 (Pubitemid 43668647)
-
(2006)
Physics Letters, Section A: General, Atomic and Solid State Physics
, vol.354
, Issue.4
, pp. 305-311
-
-
Lu, J.G.1
-
38
-
-
0034645889
-
A new class of chaotic circuit
-
10.1016/S0375-9601(00)00026-8
-
J.C. Sprott 2000 A new class of chaotic circuit Phys. Lett. A 266 19 23 10.1016/S0375-9601(00)00026-8
-
(2000)
Phys. Lett. A
, vol.266
, pp. 19-23
-
-
Sprott, J.C.1
|