K.B. Oldham, J. Spanier, The Fractional Calculus (Academic Press, New York, 1974)
S.G. Samko, A.A. Kilbas, O.I. Marichev, Fractional Integrals and Derivatives: Theory and Applications (Gordon and Breach, Amsterdam, 1993)
D. Matignon, in Proceedings of the Colloquium FDS’98: Fractional Differential Systems: Models, Methods and Applications, Paris, 1998, edited byD. Matignon, G. Montseny, Vol. 5 (SMAI, Paris, 1998), p. 145
J.T. Machado, V. Kiryakova, F. Mainardi, Commun. Nonlinear. Sci. Numer. Simul. (2010), doi:10.1016/j.cnsns.2010.05.027
R.L. Bagley, R.A. Calico, J. Guid., Contr. Dyn. 14, 304 (1991)
H.H. Sun, A.A. Abdelwahab, B. Onaral, IEEE Trans. Auto. Contr. 29, 441 (1984)
M. Ichisea, Y. Nagayanagia, T. Kojima, J. Electroanal. Chem. 33, 253 (1971)
N. Laskin, Phys. A: Stat. Mech. Appl. 287, 482 (2000)
D. Kusnezov, A. Bulgac, G.D. Dang, Phys. Rev. Lett. 82, 6 (1999)
M.S. Tavazoei, M. Haeri, Math. Comp. Simul. 79, 1566 (2009)
P.J. Torvik, R.L. Bagley, J. Appl. Mech. 51, 294 (1984)
X. Gao, J.B. Yu Chaos, Soli. Frac. 24, 1097 (2005)
G.M. Zaslavsky, A.A. Stanislavsky, M. Edelman, Chaos 16, 013102 (2006)
E. Ahmed, A.M.A. El-Sayed, H.A.A. El-Saka, J. Math. Anal. Appl. 325, 542 (2007)
C.P. Li, G.J. Peng, Chaos, Soli. Frac. 22, 443 (2004)
T.S. Zhou, C.P. Li, Physica D 212, 111 (2005)
C.P. Li, W.H. Deng, D. Xu, Physica A 360, 171 (2006)
C.P. Li, W.H. Deng, Int. J. Modern Phys. B 20, 791 (2006)
J.P. Yan, C.P. Li, Chaos, Soli. Frac. 32, 725 (2007)
D. Matignon, Thèse de Doctorat, Univ. Paris XI, 1994
W.H. Deng, C.P. Li, J.H. Lü, Nonlinear Dyn. 48, 409 (2007)
D.L. Qian, C.P. Li, R.P. Agarwal, et al., Math. Comput. Model. 52, 862 (2010)
D. Matignon, in Proceedings of IMACS-SMC, Vol. 2 (Lille, France, 1996), p. 963
R. Malti, O. Cois, M. Aoun, et al., in the 15th IFAC World Congress (Barcelona, Spain, 2002)
M. Moze, J. Sabatier, A. Oustaloup, in Proceedings of International Design Engineering Technical Conferences (California, USA, 2005), p. 1611
M. Moze, J. Sabatier, A. Oustaloup, in Advances in Fractional Calculus:Theoretical Developments and Applications in Physics and Engineering, edited by J. Sabatier, O.P. Agrawal, J.A. Tenreiro Machado (Springer Netherlands, Netherlands, 2007), p. 419
A.G. Radwan, A.M. Soliman, A.S. Elwakil, et al., Chaos, Soli. Frac. 40, 2317 (2009)
C. Bonnet, J.R. Partington, Syst. Contr. Lett. 41, 167 (2000)
T.T. Hartley, C.F. Lorenzo, Nonlinear Dyn. 29, 201 (2002)
J.F. Wang, Y.K. Li, Control Theory & Applications 25, 7 (2006) (in Chinese)
I. Petráš, [ arXiv:0811.4102], 2008-arxiv.org (preprint)
J.C. Trigeassou, N. Maamri, in 6th International Multi-Conference on Systems, Signals and Devices (2009)
S. Momani, R. El-Khazali, in Proceedings of the Intelligent Systems and Control Conference (Tampa, Florida, 2001)
J. Sabatier, M. Moze, C. Farges, Comput. Math. Appl. 59, 1594 (2010)
C.P. Li, Z.G. Zhao, J. Shanghai Univ. (English Edition) 13, 197 (2009)
Z.B. Wang, G.Y. Cao, X.J. Zhu, J. Harbin Inst. Technol. (English Edition) 13, 580 (2006)
Z.B. Wang, G.Y. Cao, X.J. Zhu, Control Theory & Applications 21, 922 (2004) (in Chinese)
K. Diethelm, N.J. Ford, J. Math. Anal. Appl. 265, 229 (2002)
V. Daftardar-Gejji, H. Jafari, J. Math. Anal. Appl. 328, 1026 (2007)
S. Momani, S. Hadid, Int. J. Math. Math. Sciences 47, 2503 (2004)
A.M.A. El-Sayed, A.E.M. El-Mesiry, H.A.A. El-Saka, Appl. Math. Lett. 20, 817 (2007)
E. Ahmed, A.M.A. El-Sayed, H.A.A. El-Saka, Phys. Lett. A 358, 1 (2006)
E. Ahmed, A.S. Elgazzar, Physica A 379, 607 (2007)
A.E. Matouk, Phys. Lett. A 373, 2166 (2009)
X.Y. Wang, Y.J. He, M.J. Wang, Nonlinear Analysis: Theory, Methods & Applications 71, 6126 (2009)
Y.G. Yu, H.X. Li, S. Wang, et al., Chaos, Soli. Frac. 42, 1181 (2009)
H.A. El-Saka, E. Ahmed, M.I. Shehata, et al., Nonlinear Dyn. 56, 121 (2009)
S. Ladaci, E. Moulay, J. Autom. Syst. Eng. (2008) (in press)
Y. Li, Y.Q. Chen, I. Podlubny, Automatica 45, 1965 (2009)
Y. Li, Y.Q. Chen, I. Podlubny, Comput. Math. Appl. 59, 1810 (2010)
Deng W.H., Nonlinear Anal. 72, 1768 (2010)
M.P. Lazarević, D.L. Debeljković, Asian J. Control 7, 440 (2005)
M.P. Lazarević, Mech. Res. Comm. 33, 269 (2006)
X.Y. Zhang, Appl. Math. Comput. 197, 407 (2008)
M.P. Lazarević, A.M. Spasić, Math. Comput. Model. 49, 475 (2009)
Y.Q. Chen, K.L. Moore, Nonlinear Dyn. 29, 191 (2002)
C. Hwang, Y. Cheng Cheng, Automatica 41, 1979 (2005)
Y.Q. Chen, K.L. Moore, in Proceedings of the 40th IEEE Conference on Decision and Control (CDC’01), Orlando, FL (IEEE, New York, 2001), p. 1421
I. Petráš, Int. J. Theor. Appl. 12, (2009)
I. Podlubny, Fractional Differential Equations (Academic Press, New York, 1999)
A.A. Kilbas, H.M. Srivastava, J.J. Trujillo, Theory and Applications of Fractional Differential Equations (Elsevier, Amsterdam, 2006)
W.H. Deng, C.P. Li, Q. Guo, Fractals 15, 173 (2007)
E.J. Muth, Transform Methods with Applications to Engineering and Operations Research (Prentice-Hall, New Jersey, 1977)
Z.M. Odibat, Comput. Math. Appl. 59, 1171 (2010)
B. Bonilla, M. Rivero, J.J. Trujillo, Appl. Math. Comput. 187, 68 (2007)
V. Daftardar-Gejji, A. Babakhani, J. Math. Anal. Appl. 293, 511 (2004)
Y.Q. Chen, H.S. Ahn, I. Podlubny, Signal Processing 86, 2611 (2006)
H.S. Ahn, Y.Q. Chen, I. Podlubny, Appl. Math. Comput. 187, 27 (2007)
H.S. Ahn, Y.Q. Chen, Automatica 44, 2985 (2008)
K.A. Moornani, M. Haeri, ISA Transactions 48, 484 (2009)
J.G. Lu, Y.Q. Chen, IEEE Trans. Auto. Contr. 55, 152 (2010)
V. Lakshmikantham, S. Leela, D.J. Vasundhara, Theory of Fractional Dynamic Systems (Cambridge Scientific Publisher, Cambridge, 2009)