M. Caputo, Linear Models of Dissipation whose Q is almost Frequency Independent--II, Geophysical Journal International, vol.13, issue.5, pp.529-539, 1967.
DOI : 10.1111/j.1365-246X.1967.tb02303.x

R. Bagley and P. Torvik, Fractional calculus - A different approach to the analysis of viscoelastically damped structures, AIAA Journal, vol.21, issue.5, pp.741-748, 1983.
DOI : 10.2514/3.8142

J. Padovan, Computational algorithms for FE formulations involving fractional operators, Computational Mechanics, vol.81, issue.4, pp.271-287, 1987.
DOI : 10.1007/BF00296422

A. Galucio, J. Deü, and R. Ohayon, Finite element formulation of viscoelastic sandwich beams using fractional derivative operators, Computational Mechanics, vol.33, issue.4, pp.282-291, 2004.
DOI : 10.1007/s00466-003-0529-x
URL : https://hal.archives-ouvertes.fr/hal-01422435

C. Lubich, Discretized Fractional Calculus, SIAM Journal on Mathematical Analysis, vol.17, issue.3, pp.704-719, 1986.
DOI : 10.1137/0517050

K. Diethelm, N. Ford, A. Freed, and Y. Luchko, Algorithms for the fractional calculus: A selection of numerical methods, Computer Methods in Applied Mechanics and Engineering, vol.194, issue.6-8, pp.743-773, 2005.
DOI : 10.1016/j.cma.2004.06.006

A. Grü-nwald, Derivationen and deren Anwendung, Z. Math. Phys, vol.12, pp.441-480, 1867.

A. Letnikov, Theory of differentiation of an arbitrary order, Mat. Sb, vol.3, pp.1-68, 1868.

L. Yuan and O. , A Numerical Scheme for Dynamic Systems Containing Fractional Derivatives, Journal of Vibration and Acoustics, vol.124, issue.2, pp.321-324, 2002.
DOI : 10.1115/1.1448322

C. Trinks and P. Ruge, Treatment of dynamic systems with fractional derivatives without evaluating memory-integrals, Computational Mechanics, vol.29, issue.6, pp.471-476, 2002.
DOI : 10.1007/s00466-002-0356-5

F. Dubois and S. Mengué, Schémas numériques implicites pour les e ´quations semi-différentielles, Tech. Rep, vol.334, 2000.

C. Gear, Numerical Initial Value Problems in Ordinary Differential Equation, 1971.

A. Oustaloup, Systèmes Asservis Linéaires d'ordre Fractionnaire, 1983.

M. Enelund and G. Lesieutre, Time domain modeling of damping using anelastic displacement fields and fractional calculus, International Journal of Solids and Structures, vol.36, issue.29, pp.4447-4472, 1999.
DOI : 10.1016/S0020-7683(98)00194-2

T. Pritz, ANALYSIS OF FOUR-PARAMETER FRACTIONAL DERIVATIVE MODEL OF REAL SOLID MATERIALS, Journal of Sound and Vibration, vol.195, issue.1, pp.103-115, 1996.
DOI : 10.1006/jsvi.1996.0406

A. Schmidt and L. Gaul, Finite element formulation of viscoelastic constitutive equations using fractional time derivatives, Nonlinear Dynamics, vol.29, issue.1/4, pp.37-55, 2002.
DOI : 10.1023/A:1016552503411

K. Oldham and J. Spanier, The Fractional Calculus, 1974.

I. Podlubny, Fractional Differential Equations, 1999.

K. Diethelm, N. Ford, and A. Freed, Detailed Error Analysis for a Fractional Adams Method, Numerical Algorithms, vol.36, issue.1, pp.31-52, 2004.
DOI : 10.1023/B:NUMA.0000027736.85078.be
URL : http://chesterrep.openrepository.com/cdr/bitstream/10034/11849/8/diethelm%2c%20ford%20%26%20freed.pdf

G. Mittag-leffler, Sur la nouvelle fonction E a (x), C.R. Acad. Sci. Paris, vol.137, pp.554-558, 1903.