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 new computational approach for approximating of variable-order fractional derivatives is
proposed. The technique is based on piecewise cubic spline interpolation. The method is …

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 compares several fractional operational matrices for solving a system of linear
fractional differential equations (FDEs) of commensurate or incommensurate order. For this …

This paper develops the fundamentals of optimal-tuning periodic-gain fractional delayed
state feedback control for a class of linear fractional-order periodic time-delayed systems …

In recent decades, inclusion of renewable resources is considered as one of the most
promising options for the long run uninterrupted power supply without depending on …

In this paper, compact finite difference schemes with (3-α)-th order accuracy in time and
fourth order accuracy in space based on the L 1 method are constructed for time-fractional …

This paper presents a new discretization technique for the forced Van der Pol oscillator with
variable order derivatives. The study introduces the variable-order fractional time derivatives …

This paper presents a new method to identify unknown parameters of linear fractional order
systems by discretizing it at the Gauss-Lobatto-Chebyshev collocation points. The proposed …

This paper proposes a new strategy to design an optimal fractional state feedback control for
linear fractional periodic time-delayed (FPTD) systems. Although there exist different …