A nonlinear fractional viscoelastic material model for polymers

Horizons of cybernetical physics

“…However, applications of fractional calculus to physics and engineering were found only in the recent years. Some examples include the anomalous diffusion phenomena in inhomogeneous media that can be described by fractional-order diffusion equations [52,53], some viscoelastic materials [54], thermoelectric systems [55], etc.…”

Viscoelastic Properties Measurement of Human Lymphocytes by Atomic Force Microscopy Based on Magnetic Beads Cell Isolation

“…Hence, the stress relaxation curve recorded on cells often cannot be well fitted by single Maxwell element model. In practice, the connections of several Maxwell elements are often required to characterize the complex viscoelastic behaviors, such as polymers [41] and cells [42]. For living cells, two Maxwell elements model [28], [42] is appropriate.…”

A class of fractional differential hemivariational inequalities with application to contact problem

“…Recent advances in the fractional calculus concern the fractional derivative modeling in applied science, see [2,9,38], the theory of fractional differential equations, see [21], numerical approaches for the fractional differential equations, see [26,55] and the references therein. Another hot issue is the theory of hemivariational inequalities which is based on properties of the Clarke generalized gradient, defined for locally Lipschitz functions.…”