Variable-order fractional operators were conceived and mathematically formalized only in
recent years. The possibility of formulating evolutionary governing equations has led to the …

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 study, a new optimization algorithm, called King, is introduced for solving variable
order fractional optimal control problems (VO-FOCPs). The variable order fractional …

The new idea of Atangana and Baleanu introduced recently for fractional derivatives has
received tremendous attention from researchers of various fields. However, this idea has not …

Many physical processes in nature exhibit complex dynamics that result from a combination
of multiscale, nonlinear, non-local, and memory effects. Recent experimental measurements …

Owing to the complex mechanical properties influenced by excitation frequency and
amplitude, the modeling of viscoelastic damping materials and devices faces the challenge …

In this work, a three-dimensional cancer model which includes the interactions between
tumor cells, healthy tissue cells, and activated immune system cells was considered via …

In this review paper, we are mainly concerned with the numerical methods for solving
fractional equations, which are divided into the fractional differential equations (FDEs), time …

The article presents a new and measurement-verified approach in the modeling of a voltage
regulator, which is used in the power industry and applied for the purpose of regulation of …

Due to increasing demand of lightweight shafts from industries, the drive systems are
crucially demanded for larger inertias of motors and load machines because of control …