Podlubny, I., 1999, "*Fractional Differential Equations*", Academic, San Diego, CA.

Zaslavsky, G. M., 2005, "*Hamiltonian Chaos and Fractional Dynamics*", Oxford University Press, Oxford.

Kilbas, A. A., Srivastava, H. H., and Trujillo, J. J., 2006, "*Theory and Applications of Fractional Differential Equations*", Elsevier, New York.

Magin, R. L., 2006, "*Fractional Calculus in Bioengineering*", Begell House, Redding, CT.

Oldham, K. B., and Spanier, J., 1974, "*The Fractional Calculus*", Academic, New York.

Miller, K. S., and Ross, B., 1993, "*An Introduction to the Fractional Integrals and Derivatives: Theory and Applications*", Wiley, New York.

Samko, S. G., Kilbas, A. A., and Marichev, O. I., 1993, "*Fractional Integrals and Derivatives: Theory and Applications*", Gordon and Breach, Linghorne, PA.

Hilfer, R., 2000, "*Applications of Fractional Calculus in Physics*", World Scientific, Singapore.

F. Mainardi, A., 1997, “Fractional Calculus: Some Basic Problems in Continuum and Statistical Mechanics,” "*Fractals and Fractional Calculus in Continuum Mechanics*", A.Carpinteri and F.Mainardi, eds., Springer-Verlag, New York.

Ortigueira, M. D., 2003, “On the Initial Conditions in Continuous-Time Fractional Linear Systems,” Signal Process.

[CrossRef], 83 (11), pp. 2301–2309.

Tenreiro Machado, J. A., 1997, “Analysis and Design of Fractional Order Digital Control Systems,” Syst. Anal. Model. Simul., 27 , pp. 107–122.

Trujillo, J. J., 1999, “On a Riemann–Liouville Generalized Taylor’S Formula,” J. Math. Anal. Appl.

[CrossRef], 231 , pp. 255–265.

Tofighi, A., 2006, “The Intrisic Damping of the Fractional Oscillator,” Physica A

[CrossRef], 329 , pp. 29–34.

Chen, W., and Holm, S., 2004, “Fractional Laplacian Time-Space Models for Linear and Nonlinear Lossy Media Exhibiting Arbitrary Frequency Power-Law Dependency,” J. Acoust. Soc. Am.

[CrossRef], 115 (4), pp. 1424–1430.

Goldfain, E., 2004, “Fractional Dynamics, Cantorian Space-Time and the Gauge Hierarchy Problem,” Chaos, Solitons Fractals

[CrossRef], 22 (3), pp. 513–520.

da Graa Marcos, M., Duarte, F. B. M., and Tenreiro Machado, J. A., 2007, “Fractional Dynamics in the Trajectory Control of Redundant Manipulators,” Commun. Nonlinear Sci. Numer. Simul., in press; doi: 10.1016/j.cnsns.2007.03.027.

Agrawal, O. P., 2006, “Formulation and a Numerical Scheme for Fractional Optimal Control Problems,” "*Proceedings of the IFAC∕FDA06*", Porto, Portugal, Jul. 19–21.

Agrawal, O. P., and Baleanu, D., 2007, “A Hamiltonian Formulation and a Direct Numerical Scheme for Fractional Optimal Control Problems,” J. Vib. Control

[CrossRef], 13 (9-10), pp. 1239–1247.

Tarasov, V. E., and Zaslavsky, G. M., 2006, “Fractional Dynamics of Systems With Long-Range Interaction,” Commun. Nonlinear Sci. Numer. Simul., 11 (8), pp. 885–898.

Korabel, N., Zaslavsky, G. M., and Tarasov, V. E., 2007, “Coupled Oscillators With Power-Law Interaction and Their Fractional Dynamics Analogues,” Commun. Nonlinear Sci. Numer. Simul., 12 (8), pp. 1405–1417.

Momani, S., 2006, “A Numerical Scheme for the Solution of Multi-Order Fractional Differential Equations,” Appl. Math. Comput.

[CrossRef], 182 , pp. 761–770.

El-Wakil, S. A., Elhanbaly, A., and Abdou, M. A., 2006, “A Domian Decomposition Method for Solving Fractional Nonlinear Differential Equations,” Appl. Math. Comput.

[CrossRef], 182 , pp. 313–324.

Riewe, F., 1996, “Nonconservative Lagrangian and Hamiltonian Mechanics,” Phys. Rev. E

[CrossRef], 55 , pp. 1890–1899.

Riewe, F., 1997, “Mechanics With Fractional Derivatives,” Phys. Rev. E

[CrossRef], 55 , pp. 3581–3592.

Klimek, M., 2002, “Lagrangian and Hamiltonian Fractional Sequential Mechanics,” Czech. J. Phys.

[CrossRef], 52 , pp. 1247–1254.

Tarasov, V. E., and Zaslavsky, G. M., 2007, “Conservation Laws and Hamilton’S Equations for Systems With Long-Range Interaction and Memory,” Commun. Nonlinear Sci. Numer. Simul., in press; doi: 10.1016/j.cnsns.2007.05.017.

Tenreiro Machado, J. A., 2001, “Discrete-Time Fractional-Order Controllers,” Fractional Calculus Appl. Anal., 4 (1), pp. 47–68.

Agrawal, O. P., 2002, “Formulation of Euler-Lagrange Equations for Fractional Variational Problems,” J. Math. Anal. Appl.

[CrossRef], 272 , pp. 368–379.

Naber, M., 2004, “Time Fractional Schrödinger Equation,” J. Math. Phys.

[CrossRef], 45 , pp. 3339–3352.

Stanislavsky, A. A., 2005, “Probability Interpretation of the Integral of Fractional Order,” Theor. Math. Phys.

[CrossRef], 138 , pp. 418–431.

Nigmatullin, R. R., 1992, “The Fractional Integral and Its Physical Interpretation,” Theor. Math. Phys.

[CrossRef], 90 , pp. 242–251.

Tarasov, V. E., 2006, “Electromagnetic Fields on Fractals,” Mod. Phys. Lett. A

[CrossRef], 12 , pp. 1587–1600.

El-Nabulusi, R. A., 2007, “Differential Geometry and Modern Cosmology With Fractionaly Differentiated Lagrangian Function and Fractional Decaying Force Term,” Rom. J. Phys., 52 , pp. 441–450.

Agrawal, O. P., 2006, “Fractional Variational Calculus and the Transversality Conditions,” J. Phys. A

[CrossRef], 39 , pp. 10375–10384.

Muslih, S., and Baleanu, D., 2005, “Hamiltonian Formulation of Systems With Linear Velocities Within Riemann–Liouville Fractional Derivatives,” J. Math. Anal. Appl.

[CrossRef], 304 (3), pp. 599–603.

Baleanu, D., 2006, “Fractional Hamiltoian Analysis of Irregular Systems,” Signal Process.

[CrossRef], 86 (10), pp. 2632–2636.

Baleanu, D., and Muslih, S. I., 2005, “Formulation of Hamiltonian Equations for Fractional Variational Problems,” Czech. J. Phys.

[CrossRef], 55 (6), pp. 633–642.

Baleanu, D., and Muslih, S. I., 2005, “Lagrangian Formulation of Classical Fields Within Riemann-Liouville Fractional Derivatives,” Phys. Scr.

[CrossRef], 72 (2–3), pp. 119–121.

Baleanu, D., and Avkar, T., 2004, “Lagrangians With Linear Velocities Within Riemann–Liouville Fractional Derivatives,” Nuovo Cimento B, 119 , pp. 73–79.

Baleanu, D., Muslih, S. I., and Tas, K., 2006, “Fractional Hamiltonian Analysis of Higher Order Derivatives Systems,” J. Math. Phys.

[CrossRef], 47 (10), pp. 1–10.

Rabei, E. M., Nawafleh, K. I., Hijjawi, R. S., Muslih, S. I., and Baleanu, D., 2007, “The Hamilton Formalism With Fractional Derivatives,” J. Math. Anal. Appl.

[CrossRef], 327 (2), pp. 891–897.

Baleanu, D., and Agrawal, O. P., 2006, “Fractional Hamilton Formalism Within Caputo’s Derivative,” Czech. J. Phys.

[CrossRef], 56 (10–11), pp. 1087–1092.

Hermann, R., 2007, “The Fractional Symmetric Rigid Rotor,” J. Phys. G

[CrossRef], 34 , pp. 607–625.

Henneaux, M., and Teitelboim, C., 1993, "*Quantization of Gauge Systems*", Princeton University, Princeton, NJ.

Jumarie, G., 2007, “Lagrangian Mechanics of Fractional Order, Hamilton-Jacobi Fractional PDE and Taylor’s Series of Nondifferntiable Functions,” Chaos, Solitons Fractals

[CrossRef], 32 , pp. 969–987.