Controlling and managing surface source pollution depends on the rapid monitoring of total
nitrogen in water. However, the complex factors affecting water quality (plant shading and …

In this study, a Legendre spectral tau method is revisited to handle the multi-term time-
fractional diffusion equations (MTT-FDEs). An error estimate and rigorous convergence …

This paper studies the numerical solution of fractional stochastic delay differential equations
driven by Brownian motion. The proposed algorithm is based on linear B-spline …

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 chapter discusses the adoption of fractional derivative operators in modeling
viscoelastic materials and their creep behavior. The damper elements in three conventional …

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, the fully discrete scheme is proposed based on the Simpson's quadrature
formula to approximate fractional-order integrals for noisy signals. This strategy is extended …