This paper presents a comprehensive review of the various research methods and theory
calculation models that are employed in engineering to study the static and dynamic …

The present state-of-the-art article is devoted to the analysis of new trends and recent results
carried out during the last 10 years in the field of fractional calculus application to dynamic …

Mittag-Leffler Functions, Related Topics and Applications Page 1 Springer Monographs in
Mathematics Rudolf Gorenflo Anatoly A. Kilbas Francesco Mainardi Sergei Rogosin Mittag-Leffler …

Fractional Calculus and Waves in Linear Viscoelasticity (Second Edition) is a self-contained
treatment of the mathematical theory of linear (uni-axial) viscoelasticity (constitutive equation …

Capacity fade in lithium-ion battery electrodes can result from a degradation mechanism in
which the carbon black-binder network detaches from the active material. Here we present …

To describe the time-dependent creep behavior of viscoelastic material, fractional
constitutive relation models which are represented by the fractional element networks are …

Appropriate knowledge of viscoelastic properties of polymers and elastomers is of
fundamental importance for a correct modelization and analysis of structures where such …

The electroosmotic flow of a fractional Oldroyd-B fluid in a circular microchannel is studied.
The linear Navier slip velocity model is used as the chosen slip boundary condition. Exact …

The most pressing issue now is to improve the cooling process in an electrical power
system. On the other hand, nanofluids are regarded as reliable coolants owing to their …

In this paper, we consider the application of the finite difference method for a class of novel
multi-term time fractional viscoelastic non-Newtonian fluid models. An important contribution …