-
2
-
-
77956684069
-
-
North-Holland Mathematical Studies Elsevier Amsterdam 1092.45003 10.1016/S0304-0208(06)80001-0
-
Kilbas, A.A., Srivastava, H.M., Trujillo, J.J.: Theory and Applications of Fractional Differential Equations. North-Holland Mathematical Studies, vol. 204. Elsevier, Amsterdam (2006)
-
(2006)
Theory and Applications of Fractional Differential Equations
, vol.204
-
-
Kilbas, A.A.1
Srivastava, H.M.2
Trujillo, J.J.3
-
5
-
-
0001691616
-
Observation of anomalous diffusion and Levy flights in a two-dimensional rotating flow
-
10.1103/PhysRevLett.71.3975
-
T.H. Solomon E.R. Weeks H.L. Swinney 1993 Observation of anomalous diffusion and Levy flights in a two-dimensional rotating flow Phys. Rev. Lett. 71 24 3975 3978 10.1103/PhysRevLett.71.3975
-
(1993)
Phys. Rev. Lett.
, vol.71
, Issue.24
, pp. 3975-3978
-
-
Solomon, T.H.1
Weeks, E.R.2
Swinney, H.L.3
-
6
-
-
1842531858
-
Uncoupled continuous-time random walks: Solution and limiting behavior of the master equation
-
11107/1-8 2097999 10.1103/PhysRevE.69.011107
-
E. Scalas R. Gorenflo F. Mainardi 2004 Uncoupled continuous-time random walks: Solution and limiting behavior of the master equation Phys. Rev. E 69 011107/1-8 2097999 10.1103/PhysRevE.69.011107
-
(2004)
Phys. Rev. E
, vol.690
-
-
Scalas, E.1
Gorenflo, R.2
Mainardi, F.3
-
7
-
-
52549095901
-
Fractional control of heat diffusion systems
-
2464537 1210.80008 10.1007/s11071-007-9322-2
-
I.S. Jesus J.A.T. Machado 2008 Fractional control of heat diffusion systems Nonlinear Dyn. 54 3 263 282 2464537 1210.80008 10.1007/s11071-007-9322-2
-
(2008)
Nonlinear Dyn.
, vol.54
, Issue.3
, pp. 263-282
-
-
Jesus, I.S.1
MacHado, J.A.T.2
-
8
-
-
15544372160
-
Continued fraction expansion approaches to discretizing fractional order derivatives-An expository review
-
2112172 1134.93300 10.1007/s11071-004-3752-x
-
Y.Q. Chen B.M. Vinagre I. Podlubny 2004 Continued fraction expansion approaches to discretizing fractional order derivatives-An expository review Nonlinear Dyn. 38 1-4 155 170 2112172 1134.93300 10.1007/s11071-004-3752-x
-
(2004)
Nonlinear Dyn.
, vol.38
, Issue.14
, pp. 155-170
-
-
Chen, Y.Q.1
Vinagre, B.M.2
Podlubny, I.3
-
9
-
-
33750901303
-
A numerical scheme for the solution of multi-order fractional differential equations
-
2292084 1107.65119 10.1016/j.amc.2006.04.037
-
S. Momani 2006 A numerical scheme for the solution of multi-order fractional differential equations Appl. Math. Comput. 182 761 786 2292084 1107.65119 10.1016/j.amc.2006.04.037
-
(2006)
Appl. Math. Comput.
, vol.182
, pp. 761-786
-
-
Momani, S.1
-
10
-
-
42449096849
-
On exact solutions of a class of fractional Euler-Lagrange equations
-
2401415 1170.70328 10.1007/s11071-007-9281-7
-
D. Baleanu J.J. Trujillo 2008 On exact solutions of a class of fractional Euler-Lagrange equations Nonlinear Dyn. 52 4 331 335 2401415 1170.70328 10.1007/s11071-007-9281-7
-
(2008)
Nonlinear Dyn.
, vol.52
, Issue.4
, pp. 331-335
-
-
Baleanu, D.1
Trujillo, J.J.2
-
11
-
-
0001110962
-
Coprime factorizations and stability of fractional differential systems
-
1831424 0985.93048 10.1016/S0167-6911(00)00050-5
-
C. Bonnet J.R. Partington 2000 Coprime factorizations and stability of fractional differential systems Syst. Control Lett. 41 167 174 1831424 0985.93048 10.1016/S0167-6911(00)00050-5
-
(2000)
Syst. Control Lett.
, vol.41
, pp. 167-174
-
-
Bonnet, C.1
Partington, J.R.2
-
12
-
-
33947133956
-
Stability analysis of linear fractional differential system with multiple time-delays
-
1185.34115 10.1007/s11071-006-9094-0
-
W.H. Deng C.P. Li J.H. Lü 2007 Stability analysis of linear fractional differential system with multiple time-delays Nonlinear Dyn. 48 409 416 1185.34115 10.1007/s11071-006-9094-0
-
(2007)
Nonlinear Dyn.
, vol.48
, pp. 409-416
-
-
Deng, W.H.1
Li, C.P.2
Lü, J.H.3
-
13
-
-
34247212711
-
Remarks on fractional derivatives
-
2323083 1125.26009 10.1016/j.amc.2006.08.163
-
C.P. Li W.H. Deng 2007 Remarks on fractional derivatives Appl. Math. Comput. 187 777 784 2323083 1125.26009 10.1016/j.amc.2006.08.163
-
(2007)
Appl. Math. Comput.
, vol.187
, pp. 777-784
-
-
Li, C.P.1
Deng, W.H.2
-
14
-
-
76649139783
-
LMI stability conditions for fractional order systems
-
2595931 1189.34020 10.1016/j.camwa.2009.08.003
-
J. Sabatier M. Moze Ch. Farges 2010 LMI stability conditions for fractional order systems Comput. Math. Appl. 59 1594 1609 2595931 1189.34020 10.1016/j.camwa.2009.08.003
-
(2010)
Comput. Math. Appl.
, vol.59
, pp. 1594-1609
-
-
Sabatier, J.1
Moze, M.2
Farges, Ch.3
-
15
-
-
79959196930
-
Stability analysis of fractional differential systems with order lying in 1,2
-
213485 10.1155/2011/213485
-
F. Zhang C.P. Li 2011 Stability analysis of fractional differential systems with order lying in 1,2 Adv. Differ. Equ. 2011 213485 10.1155/2011/213485
-
(2011)
Adv. Differ. Equ.
, vol.2011
-
-
Zhang, F.1
Li, C.P.2
-
16
-
-
77956773241
-
Mittag-Leffler stability theorem for fractional nonlinear systems with delay
-
108651 10.1155/2010/108651 2674391 10.1155/2010/108651
-
S.J. Sadati D. Baleanu A. Ranjbar R. Ghaderi T. Abdeljawad 2010 Mittag-Leffler stability theorem for fractional nonlinear systems with delay Abstr. Appl. Anal. 2010 108651 10.1155/2010/108651 2674391 10.1155/2010/108651
-
(2010)
Abstr. Appl. Anal.
, vol.2010
-
-
Sadati, S.J.1
Baleanu, D.2
Ranjbar, A.3
Ghaderi, R.4
Abdeljawad, T.5
-
17
-
-
84858820087
-
Finite-time stability analysis of fractional-order with multi-state time delay
-
L. Liu S. Zhong 2011 Finite-time stability analysis of fractional-order with multi-state time delay Word Acad. Sci., Eng. Technol. 76 874 877
-
(2011)
Word Acad. Sci., Eng. Technol.
, vol.76
, pp. 874-877
-
-
Liu, L.1
Zhong, S.2
-
18
-
-
84858848278
-
Finite-time stability analysis of fractional order time delay systems: Bellman-Gronwall's approach
-
M. Lazarević 2007 Finite-time stability analysis of fractional order time delay systems: Bellman-Gronwall's approach Sci. Tech. Rev. 7 8 15
-
(2007)
Sci. Tech. Rev.
, vol.7
, pp. 8-15
-
-
Lazarević, M.1
-
19
-
-
57949095998
-
Stability analysis of a class of nonlinear fractional-order systems
-
10.1109/TCSII.2008.2002571
-
X.J. Wen Z.M. Wu J.G. Lu 2008 Stability analysis of a class of nonlinear fractional-order systems IEEE Trans. Circuits Syst. II, Express Briefs 55 1178 1182 10.1109/TCSII.2008.2002571
-
(2008)
IEEE Trans. Circuits Syst. II, Express Briefs
, vol.55
, pp. 1178-1182
-
-
Wen, X.J.1
Wu, Z.M.2
Lu, J.G.3
-
20
-
-
76449092011
-
-
2595955 1189.34015 10.1016/j.camwa.2009.08.019
-
Y. Li Y.Q. Chen I. Podlubny 2010 Comput. Math. Appl. 59 5 1810 1821 2595955 1189.34015 10.1016/j.camwa.2009.08.019
-
(2010)
Comput. Math. Appl.
, vol.59
, Issue.5
, pp. 1810-1821
-
-
Li, Y.1
Chen, Y.Q.2
Podlubny, I.3
-
21
-
-
67649626081
-
Mittag-Leffler stability of fractional order nonlinear dynamic systems
-
1185.93062 10.1016/j.automatica.2009.04.003
-
Y. Li Y.Q. Chen I. Podlubny 2009 Mittag-Leffler stability of fractional order nonlinear dynamic systems Automatica 45 1965 1969 1185.93062 10.1016/j.automatica.2009.04.003
-
(2009)
Automatica
, vol.45
, pp. 1965-1969
-
-
Li, Y.1
Chen, Y.Q.2
Podlubny, I.3
-
22
-
-
0002731965
-
Stability result on fractional differential equations with applications to control processing
-
Lille, France July
-
Matignon, D.: Stability result on fractional differential equations with applications to control processing. In: IMACS-SMC Proceedings, Lille, France, July, pp. 963-968 (1996)
-
(1996)
IMACS-SMC Proceedings
, pp. 963-968
-
-
Matignon, D.1
-
25
-
-
24944498872
-
Weakly singular discrete Gronwall inequalities
-
880357 10.1002/zamm.19860661107
-
J. Dixon S. McKee 1986 Weakly singular discrete Gronwall inequalities Z. Angew. Math. Mech. 11 535 544 880357 10.1002/zamm.19860661107
-
(1986)
Z. Angew. Math. Mech.
, vol.11
, pp. 535-544
-
-
Dixon, J.1
McKee, S.2
-
26
-
-
0004178386
-
-
Prentice Hall Englewood Cliffs 0-13-228024-8
-
Khalil, H.K.: Nonlinear Systems. Prentice Hall, Englewood Cliffs (1996). ISBN 0-13-228024-8
-
(1996)
Nonlinear Systems
-
-
Khalil, H.K.1
-
27
-
-
77958514995
-
Fractional order sliding mode control with reaching low approach
-
doi: 10.3906/elk-0906-3
-
Mehmet önder, E.F.E.: Fractional order sliding mode control with reaching low approach. Turk J. Electr. Eng. Comput. Sci. 18(5) (2010). doi: 10.3906/elk-0906-3
-
(2010)
Turk J. Electr. Eng. Comput. Sci.
, vol.18
, Issue.5
-
-
Mehmet Önder, E.F.E.1
-
28
-
-
70350418135
-
Fuzzy fractional order sliding mode controller for nonlinear systems
-
2557005 1221.93140 10.1016/j.cnsns.2009.05.025
-
H. Delavari R. Ghaderi A. Ranjbar S. Momani 2010 Fuzzy fractional order sliding mode controller for nonlinear systems Commun. Nonlinear Sci. Numer. Simul. 15 963 978 2557005 1221.93140 10.1016/j.cnsns.2009.05.025
-
(2010)
Commun. Nonlinear Sci. Numer. Simul.
, vol.15
, pp. 963-978
-
-
Delavari, H.1
Ghaderi, R.2
Ranjbar, A.3
Momani, S.4
|