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Zbl 1112.74009
Drăgănescu, G.E.
Application of a variational iteration method to linear and nonlinear viscoelastic models with fractional derivatives. (English)
[J] J. Math. Phys. 47, No. 8, 082902, 9 p. (2006). ISSN 0022-2488; ISSN 1089-7658/e

Summary: We present two nonlinear anelastic models with fractional derivatives, describing the properties of polymers and polycrystalline materials. These models are studied analytically using a variational iteration method. The paper clarifies different ways in which the fractional differentiation operator can be defined. A Volterra series method of model parameter identification from experimental data is also presented.

MSC 2000:: *74D10 Nonlinear constitutive equations
74D05 Linear constitutive equations
26A33 Fractional derivatives and integrals (real functions)

Keywords: Volterra series method; parameter identification

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