IEEE/CAA Journal of Automatica Sinica
Citation:  Subir Das and Vijay K Yadav, "Stability Analysis, Chaos Control of Fractional Order Vallis and ElNino Systems and Their Synchronization," IEEE/CAA J. Autom. Sinica, vol. 4, no. 1, pp. 114124, Jan. 2017. 
[1] 
R.L.Bagley and R.A.Calico, "Fractional order state equations for the control of viscoelastically damped structures, "J.Guid.Contr.Dyn., vol.14, no.2, pp.304311, Mar.1991. https://www.researchgate.net/publication/245431823_The_fractional_order_state_equations_for_the_control_of_viscoelastically_damped_structures

[2] 
R.C.Koeller, "Applications of fractional calculus to the theory of viscoelasticity, "J.Appl.Mech., vol.51, no.2, pp.299307, Jun.1984. http://appliedmechanics.asmedigitalcollection.asme.org/article.aspx?articleid=1407520

[3] 
R.C.Koeller, "Polynomial operators, stieltjes convolution, and fractional calculus in hereditary mechanics, "Acta Mech., vol.58, no.34, pp.251264, Apr.1986. doi: 10.1007/BF01176603

[4] 
O.Heaviside, Electromagnetic Theory.New York:Chelsea, 1971.

[5] 
A.Carpinteri, P.Cornetti, and K.M.Kolwankar, "Calculation of the tensile and flexural strength of disordered materials using fractional calculus, "Chaos Solit.Fract., vol.21, no.3, pp.623632, Jul.2004.

[6] 
V.V.Kulish and J.L.Lage, "Application of fractional calculus to fluid mechanics, "J.Fluids Eng., vol.124, no.3, pp.803806, Aug.2002. http://fluidsengineering.asmedigitalcollection.asme.org/article.aspx?articleid=1429611

[7] 
R.L.Magin, "Fractional calculus models of complex dynamics in biological tissues, "Comput.Math.Appl., vol.59, no.5, pp.15861593, Mar.2010. http://www.sciencedirect.com/science/article/pii/S0898122109005343

[8] 
A.Gökdoğan, M.Merdan, and A.Yildirim, "A multistage differential transformation method for approximate solution of Hantavirus infection model, "Commun.Nonlinear Sci.Numer.Simul., vol.17, no.1, pp.18, Jan.2012. http://www.academia.edu/5909513/A_multistage_differential_transformation_method_for_approximate_solution_of_Hantavirus_infection_model

[9] 
G.Chen and X.Dong, "On feedback control of chaotic continuoustime systems, "IEEE Trans.Circuit.Syst.I:Fund.Theor.Appl., vol.40, no.9, pp.591601, Sep.1993.

[10] 
M.T.Yassen, "Chaos control of Chen chaotic dynamical system, "Chaos Solit.Fract., vol.15, no.2, pp.271283, Jan.2003. http://www.sciencedirect.com/science/article/pii/S096007790100251X

[11] 
M.T.Yassen, "Controlling chaos and synchronization for new chaotic system using linear feedback control, "Chaos Solit.Fract., vol.26, no.3, pp.913920, Nov.2005. http://www.sciencedirect.com/science/article/pii/S0960077905001372

[12] 
M.T.Yassen, "Adaptive control and synchronization of a modified Chua's circuit system, "Appl.Math.Comput., vol.135, pp.113128, Feb.2003. http://www.sciencedirect.com/science/article/pii/S0096300301003186

[13] 
T.L.Liao and S.H.Lin, "Adaptive control and synchronization of Lorenz systems, "J.Franklin Inst., vol.336, no.6, pp.925937, Aug.1999. http://www.sciencedirect.com/science/article/pii/S0016003299000101

[14] 
J.H.Lü and S.C.Zhang, "Controlling Chen's chaotic attractor using backstepping design based on parameters identification, "Phys.Lett.A, vol.286, no.23, pp.148152, Jul.2001. http://www.sciencedirect.com/science/article/pii/S0375960101003838

[15] 
L.M.Pecora and T.L.Carroll, "Synchronization in chaotic systems, Phys.Rev.Lett., vol.64, no.8, pp.821824, Feb.1990. https://en.wikipedia.org/wiki/Synchronization_of_chaos

[16] 
A.A.Kilbas, H.M.Srivastava, and J.J.Trujillo, Theory and Applications of Fractional Differential Equations.New York:Elsevier, 2006.

[17] 
N.AguilaCamacho, M.A.DuarteMermoud, and J.A.Gallegos, Lyapunov functions for fractional order systems, "Commun.Nonlinear Sci.Numer.Simul., vol.19, no.9, pp.29512957, Sep.2014. http://www.sciencedirect.com/science/article/pii/S1007570414000471

[18] 
M.R.Faieghi and H.Delavari, "Chaos in fractionalorder GenesioTesi system and its synchronization, "Commun.Nonlinear Sci.Numer.Simul., vol.17, no.2, pp.731741, Feb.2012. http://www.sciencedirect.com/science/article/pii/S1007570411002851

[19] 
D.Matignon, "Stability results for fractional differential equations with applications to control processing, "in Computational Engineering in System Application, Lille, France, 1996, pp.963968.

[20] 
C.P.Li and Y.T.Ma, "Fractional dynamical system and its linearization theorem, "Nonlinear Dyn., vol.71, no.4, pp.621633, Mar.2013. doi: 10.1007/s1107101206011

[21] 
N.A.Magnitskii and S.V.Sidorov, "Transition to chaos in nonlinear dynamical systems described by ordinary differential equations, "Comput. Math.Model., vol.18, no.2, pp.128147, Apr.2007.

[22] 
N.A.Magnitskii and S.V.Sidorov, New Methods for Chaotic Dynamics. Singapore:World Scientific Publishing, 2006.
