In this paper, we consider a one dimensional advection-diffusion system in Caputo fractional
order derivative. Using a Fourier decomposition and the Mittag-Leffler Function (MLF), we …

In this paper we consider the one-dimensional compressible Navier--Stokes system
linearized about a constant steady state (Q_0,0) with Q_0>0. We study the controllability and …

This paper investigates the stability of fractional advection–diffusion system with
conformable derivative in infinite time interval. We have established new exponential …

In this article, we study the boundary feedback stabilization of the one-dimensional
compressible Navier--Stokes system, linearized around a constant steady state (Q_0,0) …

In this paper we study the exponential stabilization of the one dimensional compressible
Navier–Stokes system, in a bounded interval (0, π), locally around a constant steady state …

In this paper, we are interested in the stabilization of the flow modeled by the Saint-Venant
equations. We have solved two problems in this study. The first, we have proved that the …

In this paper, we study the stabilization of a linearized viscous Saint-Venant system by
constrained Dirichlet boundary control in infinite time horizon. We proved the well …

In this article, we study the exponential stabilization of some one-dimensional nonlinear
coupled parabolic-ODE systems, namely Rogers–McCulloch and FitzHugh–Nagumo …

In this article, we study the boundary null-controllability properties of the one-dimensional
linearized (around $(Q_0, V_0) $ with constants $ Q_0> 0, V_0> 0$) compressible Navier …

In this paper, we consider the linearized compressible barotropic Navier‐Stokes system in a
bounded interval (0, L)\left (0, L\right) with a time‐varying delay term acting in the Dirichlet …