81 citations · 89 across the 8 of their papers we have counts for
8 papers
Fractional Multidimensional System
Xiaogang Zhu, Junguo Lu
The multidimensional (-D) systems described by Roesser model are presented in this paper. These -D systems consist of discrete systems and continuous fractional order systems…
Fractional Generalized KYP Lemma for Fractional Order System within Finite Frequency Range
Xiaogang Zhu, Junguo Lu
The celebrated GKYP is widely used in integer-order control system. However, when it comes to the fractional order system, there exists no such tool to solve problems. This paper p…
Basic Properties of Singular Fractional Order System with order (1,2)
Xiaogang Zhu, Jie Xu, Junguo Lu
This paper focuses on some properties, which include regularity, impulse, stability, admissibility and robust admissibility, of singular fractional order system (SFOS) with fractio…
Differential quadrature method for space-fractional diffusion equations on 2D irregular domains
X. G. Zhu, Z. B. Yuan, F. Liu +1
In mathematical physics, the space-fractional diffusion equations are of particular interest in the studies of physical phenomena modelled by Lévy processes, which are sometimes ca…
An exponential B-spline collocation method for fractional sub-diffusion equation
X. G. Zhu, Y. F. Nie, Z. B. Yuan +2
In this article, we propose an exponential B-spline collocation method to approximate the solution of the fractional sub-diffusion equation of Caputo type. The present method is ge…
On a collocation method for the time-fractional convection-diffusion equation with variable coefficients
Xiaogang Zhu, Yufeng Nie
In this work, a new collocation approach using a combination of a wavelet operational matrix method and the exponential spline interpolation is proposed to solve the time-fractiona…
Finite element method for nonlinear Riesz space fractional diffusion equations on irregular domains
Z. Yang, Z. Yuan, Y. Nie +3
In this paper, we consider two-dimensional Riesz space fractional diffusion equations with nonlinear source term on convex domains. Applying Galerkin finite element method in space…
Analysis of new stabilized hp discontinuous Galerkin methods for elasticity problem
Zhihao Ge, Xiaogang Zhu
In the paper, we propose three new hp discontinuous Galerkin methods for the elasticity problem and make a comparison of the three numerical methods. And we prove the optimal order…