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Drăgănescu, G. E.

Application of a variational iteration method to linear and nonlinear viscoelastic models with fractional derivatives. (English) Zbl 1112.74009

J. Math. Phys. 47, No. 8, 082902, 9 p. (2006).
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.

Cited in 21 Documents

MSC:

74D10 Nonlinear constitutive equations for materials with memory
74D05 Linear constitutive equations for materials with memory
26A33 Fractional derivatives and integrals

Keywords:

Volterra series method; parameter identification
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\textit{G. E. Drăgănescu}, J. Math. Phys. 47, No. 8, 082902, 9 p. (2006; Zbl 1112.74009)
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