Distributed-order fractional calculus (DOFC) is a rapidly emerging branch of the broader
area of fractional calculus that has important and far-reaching applications for the modeling …

We presented an analysis of evolutions equations generated by three fractional derivatives
namely the Riemann–Liouville, Caputo–Fabrizio and the Atangana–Baleanu fractional …

General Fractional Derivatives with Applications in Viscoelasticity introduces the newly
established fractional-order calculus operators involving singular and non-singular kernels …

This paper aims at presenting a survey of the fractional derivative acoustic wave equations,
which have been developed in recent decades to describe the observed frequency …

This book contains mathematical preliminaries in which basic definitions of fractional
derivatives and spaces are presented. The central part of the book contains various …

The books Fractional Calculus with Applications in Mechanics: Vibrations and Diffusion
Processes and Fractional Calculus with Applications in Mechanics: Wave Propagation …

In this work we employ integer-and fractional-order viscoelastic models in a one-
dimensional blood flow solver, and study their behavior by presenting an in-silico study on a …

Elastography researchers have utilized several rheological models to characterize soft
tissue viscoelasticity over the past thirty years. Due to the frequency-dependent behavior of …

In order to control the movement of waves on the area of shallow water, the newly derivative
with fractional order proposed by Caputo and Fabrizio was used. To achieve this, we first …

We studied a Zener-type model of a viscoelastic body within the context of general fractional
calculus and derived restrictions on coefficients that follow from the dissipation inequality …