This paper reviews the recent research in the application of fractional calculus in the models
of linear viscoelasticity utilized in dynamic problems of mechanics of solids. The brief …

In this paper the authors introduce a nonlinear model of fractional-order hereditariness used
to capture experimental data obtained on human tendons of the knee. Creep and relaxation …

The dynamic system of a structure utilized with visco-elastic dampers can be modeled by
fractional differential equations. All the resulted systems of fractional differential equations …

The visco-elastic dampers can be economically designed for response reduction of
dynamical systems. Recent developments in fractional calculus have affected the modeling …

In this paper, a fractional order mathematical model of a hydro-turbine governing system is
presented to analyze the dynamic stability of the hydro-turbine governing system in the …

The aim of the paper is the description of fractional-order differential equations in terms of
exact mechanical models. This result will be archived, in the paper, for the case of linear …

Clinical implementation of quantitative computed tomography-based finite element analysis
(QCT/FEA) of proximal femur (hip) fractures requires (i) to develop a bone material behavior …

In this paper a three-dimensional isotropic fractional viscoelastic model is examined. It is
shown that if different time scales for the volumetric and deviatoric components are …

Creep and/or Relaxation tests on viscoelastic materials show a power-law trend. Based
upon Boltzmann superposition principle the constitutive law with a power-law kernel is ruled …

An innovative procedure was proposed to simulate the viscoelastic mechanical behavior of
asphalt mixture. The existing fractional viscoelastic models were quantitatively analyzed …