In this paper, we formulate a new nonstandard finite difference (NSFD) scheme to study the
dynamic treatments of a class of fractional chaotic systems. To design the new proposed …

This paper discusses a general framework for the numerical solution of multi-order fractional
delay differential equations (FDDEs) in noncanonical forms with irrational/rational multiple …

A novel synthesis methodology of fractional-order chaotic systems, from the level of
nonlinear systems until their experimental verification using microcontrollers, is presented …

This paper presents an algorithm to obtain numerically stable differentiation matrices for
approximating the left-and right-sided Caputo-fractional derivatives. The proposed …

Compliant impacts can be modeled using linear viscoelastic constitutive models. While such
impact models for realistic viscoelastic materials using integer order derivatives of force and …

This paper proposes a new computational scheme for approximating variable-order
fractional integral operators by means of finite element scheme. This strategy is extended to …

Planar dynamics of a rotor supported by long hydrodynamic journal bearing is investigated
theoretically. An analytical model of the long journal bearing system is numerically …

An efficient numerical method, the fractional Chebyshev collocation method, is proposed for
obtaining the solution of a system of linear fractional order delay-differential equations …

This paper is devoted to realizing and initializing state-space realizations for linear time-
invariant multi-term fractional differential equations. For this purpose, two types of …