A variable order constitutive relation for viscoelasticity

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Numerical studies for the variable-order nonlinear fractional wave equation (2012, background): “Such systems include deformation of viscoelastic materials ([6], [16]), and the mechanics of a variable viscoelastic oscillators [5].”
Numerical simulation for two-dimensional variable-order fractional nonlinear cable equation (2014, methodology): “The variable-order fractional calculus is nowadays presented as a useful tool, with successful applications in mechanics [26], in the modeling of linear and nonlinear viscoelasticity oscillators [27,28] and in other phenomena where the order of the derivative varies with time [29,30].”
Nonlinear dynamics and control of a variable order oscillator with application to the van der Pol equation (2009, background): “For example, Coimbra et al. [7] and L’Esperance et al. [8] provide definitive experimental evidence of fractional history effects in the unsteady viscous motion of small particles in suspension.”
A review on variable-order fractional differential equations: mathematical foundations, physical models, numerical methods and applications (2019, background): “For viscoelastic materials, stress is a functional strain [85].”
Fractional derivatives of constant and variable orders applied to anomalous relaxation models in heat-transfer problems (2016, methodology): “Variable-order FD of Caputo type in term of the singular power-law kernel is given by [15,16]:”