Numerical solution to the van der Pol equation with fractional damping
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[1] J. A. Tenreiro Machado,et al. Discrete-time fractional-order controllers , 2001 .
[2] R. Bagley,et al. On the Appearance of the Fractional Derivative in the Behavior of Real Materials , 1984 .
[3] R. Magin. Fractional Calculus in Bioengineering , 2006 .
[4] M. Caputo. Linear Models of Dissipation whose Q is almost Frequency Independent-II , 1967 .
[5] F. Mainardi,et al. The fundamental solution of the space-time fractional diffusion equation , 2007, cond-mat/0702419.
[6] Aytac Arikoglu,et al. Comments on “Application of generalized differential transform method to multi-order fractional differential equations”, Vedat Suat Erturk, Shaher Momani, Zaid Odibat [Commun Nonlinear Sci Numer Simul 2008;13:1642 54] , 2008 .
[7] Ji-Huan He. Variational iteration method – a kind of non-linear analytical technique: some examples , 1999 .
[8] S. Das,et al. Analytical solution of a fractional diffusion equation by variational iteration method , 2009, Comput. Math. Appl..
[9] Dumitru Baleanu,et al. On exact solutions of a class of fractional Euler–Lagrange equations , 2007, 0708.1433.
[10] B. Ross,et al. Fractional Calculus and Its Applications , 1975 .
[11] Margarita Rivero,et al. On a Riemann–Liouville Generalized Taylor's Formula , 1999 .
[12] George M. Zaslavsky. Hamiltonian Chaos and Fractional Dynamics , 2005 .
[13] Shaher Momani,et al. Numerical approach to differential equations of fractional order , 2007 .
[14] S. Momani,et al. Application of Variational Iteration Method to Nonlinear Differential Equations of Fractional Order , 2006 .
[15] Necdet Bildik,et al. The Use of Variational Iteration Method, Differential Transform Method and Adomian Decomposition Method for Solving Different Types of Nonlinear Partial Differential Equations , 2006 .
[16] Ji-Huan He. Approximate analytical solution for seepage flow with fractional derivatives in porous media , 1998 .
[17] Ahmet Yildirim,et al. A study of nonlinear oscillators with u1/3 force by He's variational iteration method , 2007 .
[18] G. Drăgănescu,et al. Application of a variational iteration method to linear and nonlinear viscoelastic models with fractional derivatives , 2006 .
[19] H. Srivastava,et al. Theory and Applications of Fractional Differential Equations , 2006 .
[20] Juhn-Horng Chen,et al. Chaotic dynamics of the fractionally damped van der Pol equation , 2008 .
[21] I. Podlubny. Fractional differential equations , 1998 .
[22] Ji-Huan He. Approximate solution of nonlinear differential equations with convolution product nonlinearities , 1998 .
[23] A. Siddiqui,et al. Couette and Poiseuille Flows for Non-Newtonian Fluids , 2006 .