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 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 investigates the numerical approximation of the tempered fractional integral by
using the Sinc-collocation scheme. The algorithm is extended to solve a class of tempered …

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 study, the numerically stable operational matrices are proposed to approximate the
Caputo fractional-order derivatives by introducing an algorithm. The proposed operational …

Two fractional proportional–integral–derivative controllers are proposed for rigid spacecraft
rotational dynamics. In the first strategy, the controller is developed on the tangent bundle of …

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 …

Fractional integration operational matrix of Chebyshev wavelets based on the Riemann–
Liouville fractional integral operator is derived directly from Chebyshev wavelets for the first …