M. Aoun, R. Malti, F. Levron, and A. Oustaloup, Numerical Simulations of Fractional Systems: An Overview of Existing Methods and Improvements, issue: Fractional Derivatives and Their Applications, pp.1-4117, 2004.
DOI : 10.1007/s11071-004-3750-z

J. Battaglia, O. Cois, L. Puigsegur, and A. Oustaloup, Solving an inverse heat conduction problem using a non-integer identified model, International Journal of Heat and Mass Transfer, vol.44, issue.14, pp.442671-2680, 2001.
DOI : 10.1016/S0017-9310(00)00310-0

O. Cois, A. Oustaloup, E. Battaglia, and J. Battaglia, Non integer model from modal decomposition for time domain system identification, proceedings of 12th IFAC Symposium on System Identification, 2000.

O. Cois, A. Oustaloup, T. Poinot, and J. Battaglia, Fractional state variable filter for system identification by fractional model, IEEE 6th European Control Conference (ECC'2001), 2001.

H. Garnier, M. Gilson, and O. Cervellin, LATEST DEVELOPMENTS FOR THE MATLAB CONTSID TOOLBOX, IFAC Proceedings Volumes, vol.39, issue.1, 2006.
DOI : 10.3182/20060329-3-AU-2901.00111

URL : https://hal.archives-ouvertes.fr/hal-00109102

L. Lay, Identification fréquentielle et temporelle par modèle non entier, 1998.

J. Liouville, Mémoire sur quelques questions de géométrie et de mécanique et sur un nouveau genre de calcul pour résoudre ceséquationsceséquations, pp.71-162

C. F. Lorenzo and T. T. Hartley, Initialization of fractionalorder operators and fractional differential equations Journal of computational and nonlinear dynamics. Special issue on discontinuous and fractional dynamical systems, pp.21101-21102, 2008.

R. Malti, M. Aoun, J. Sabatier, and A. Oustaloup, TUTORIAL ON SYSTEM IDENTIFICATION USING FRACTIONAL DIFFERENTIATION MODELS, SYSID, pp.606-611, 2006.
DOI : 10.3182/20060329-3-AU-2901.00093

URL : https://hal.archives-ouvertes.fr/hal-00180699

D. W. Marquardt, An Algorithm for Least-Squares Estimation of Nonlinear Parameters, Journal of the Society for Industrial and Applied Mathematics, vol.11, issue.2, pp.431-441, 1963.
DOI : 10.1137/0111030

B. Mathieu, F. Oustaloup, and . Levron, Transfer function parameter estimation by interpolation in the frequency domain, EEC'95, 1995.

D. Matignon, Stability properties for generalized fractional differential systems. ESAIM proceedings -Systèmes Différentiels Fractionnaires -Modèles, Méthodes et Applications, vol.5, 1998.

K. B. Oldham and J. Spanier, The remplacement of fick's laws by a formulation involving semi-differentiation

K. B. Oldham and J. Spanier, A general solution of the diffusion equation for semiinfinite geometries, Journal of Mathematical Analysis and Applications, vol.39, issue.3, pp.655-669, 1972.
DOI : 10.1016/0022-247X(72)90189-8

K. B. Oldham and J. Spanier, Diffusive transport to planar, cylindrical and spherical electrodes, Journal of Electroanalytical Chemistry and Interfacial Electrochemistry, vol.41, issue.3, pp.351-358, 1973.
DOI : 10.1016/S0022-0728(73)80413-9

K. B. Oldham and J. Spanier, The fractionnal calculus - Theory and Applications of Differentiation and Integration to Arbitrary Order, 1974.

A. Oustaloup, La dérivation nonentì ere. Hermès -Paris, 1995.

B. Riemann, Gesammelte werke, 1892.

S. Rodrigues, N. Munichandraiah, and A. Shukla, A review of state-of-charge indication of batteries by means of a.c. impedance measurements, Journal of Power Sources, vol.87, issue.1-2, pp.12-20, 2000.
DOI : 10.1016/S0378-7753(99)00351-1

J. Sabatier, M. Aoun, A. Oustaloup, G. Grégoire, F. Ragot et al., Fractional system identification for lead acid battery state of charge estimation, Signal Processing, vol.86, issue.10, pp.2645-2657, 2006.
DOI : 10.1016/j.sigpro.2006.02.030

J. Sabatier, M. Merveillaut, R. Malti, and A. Oustaloup, On a representation of fractional order systems: Interests for the initial condition problem, 3rd IFAC Workshop on Fractional Differentiation and its Applications , FDA'08, 2008.
URL : https://hal.archives-ouvertes.fr/hal-00355499

S. G. Samko, A. A. Kilbas, and O. I. Marichev, Fractional integrals and derivatives: theory and applications, Gordon and Breach Science, 1993.