Table 3.

Schematic and shear modulus G^*(ω) of five fractional viscoelastic models

Viscoelastic model	Schematic	G*(ω)
Springpot		μα(jω)α, 0 < α ≤ 1
Fractional Voigt		μ0 + μα(jω)α, 0 < α ≤ 1
Fractional Maxwell-spring		$\frac{{\mu }_1{\mu }_{\alpha }}{{\mu }_{\alpha }+{\mu }_1{(j\omega )}^{-\alpha }}$, 0 < α ≤ 1
Fractional Maxwell-dashpot		$\frac{j\omega {\mu }_{\alpha }\eta }{\eta {(j\omega )}^{1-\alpha }+{\mu }_{\alpha }}$, 0 < α ≤ 1
3-parameter fractional Zener		${\mu }_0+\frac{{\mu }_1{\mu }_{\alpha }}{{\mu }_{\alpha }+{\mu }_1{(j\omega )}^{-\alpha }}$, 0 < α ≤ 1