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 proposes new discretization techniques to estimate variable-order fractional
integral operators based on the piecewise integro quadratic spline interpolation. The …

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 this paper, we propose a high-accuracy linear B-spline finite-difference approximation for
variable-order (VO) derivative. We consider VO fractional differentiation as a control …

In this chapter, two new methods are proposed to study the stability of linear fractional
periodic time-delayed (FPTD) systems. First, the explicit harmonic balance (EHB) method is …

This paper is devoted to finding an explicit solution for the finite-horizon linear-quadratic
regulator optimal control problem of linear time-invariant fractional-order systems based on …

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 …

In this paper, the fractional Chebyshev collocation (FCC) method is proposed to design
fractional delay controllers for linear systems with periodic coefficients. In our previous study …

In this paper, fractional Chebyshev collocation method is proposed to study Lyapunov
exponents (LEs) and chaos in a fractional order system with nonlinearities. For this purpose …