In the present paper, we implement a novel numerical method for solving differential
equations with fractional variable-order in the Caputo sense to research the dynamics of a …

New variable-order fractional chaotic systems are proposed in this paper. A concept of short
memory is introduced where the initial point in the Caputo derivative is varied. The fractional …

Locally active memristor has become a research hotspot, and plays an important role in the
research of neural networks. In order to study the dynamic behavior of synaptic crosstalk …

The model of Ebola spread within a targeted population is extended to the concept of
fractional differentiation and integration with non-local and non-singular fading memory …

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

In this work, a class of chaotic nonlinear fractional systems of commensurate order called
Liouvillian systems is considered to solve the problem of generalized synchronization. To …

The shifted Legendre algorithm is used to solve the governing differential equation of
variable order cantilever beam in time domain. According to the variable fractional model …

The Variable-order fractional operators (VO-FO) have considered mathematically formalized
recently. The opportunity of verbalizing evolutionary leading equations has led to the …

With the aim of describing and explaining the creep tensile property of shape memory
polymers (SMPs) better, a variable--order fractional creep constitutive model with fewer …

High speed and cost effective computing power appoint the possibility of modelling the real
world control and signal processing problems with the usage of fractional order calculus …