-
Article
Existence of solutions for nonlinear fractional differential equations with non-homogenous boundary conditions
In this paper we consider the existence of solution to systems of nonlinear conformable fractional differential equations with non-homogenous Dirichlet, Neumann, Sturm–Liouville conditions or the periodic cond...
-
Article
Exponential stability of a coupled wave system with thermal effects
This paper is concerned with the stability of a coupled wave system in one-dimensional space with thermal effects, which is coupled by velocities. We prove the well-posedness of the system by using Lumer-Phill...
-
Article
Equivalence between observability at the boundary and exponential stabilization for an ACL beam actuated by a voltage source without magnetic effects
In this paper, we consider a one-dimensional dissipative system of a Rayleigh beam coupled with two wave equations, modeling an active constrained layer beam which consists of a stiff layer, a viscoelastic lay...
-
Article
Polynomial Stability of the Laminated Beam with One Discontinuous Local Internal Fractional Dam**
In this paper, we are concerned with the stabilization of a laminated beam with one discontinuous local internal fractional dam**. We reformulate the system into an augmented model and prove the well-posedne...
-
Article
Nonnegative weak solutions for a mathematical model of atherosclerosis in the early stage
We consider a mathematical model of the initiation and development of atherosclerosis in the early stage, defined in different domains. The existence of nonnegative weak solutions is proved via studying an aux...
