In this work, we use a variational approach to model vibrations on a piezoelectric beam with
fractional damping depending on a parameter ν∈(0, 1/2). Magnetic and thermal effects are …

This paper is devoted to study the asymptotic behavior of a binary mixture problem of solids
with fractional damping and sources terms. We prove the existence of global attractors with …

This paper investigates Cauchy problems of nonlinear parabolic equation with a Caputo
fractional derivative. When the initial datum is sufficiently small in some appropriate spaces …

In this paper we consider approximations of a class of third order linear evolution equations
in time governed by fractional powers. We explicitly calculate the fractional powers of …

We consider non-autonomous nonlinear Schrödinger equation with homogeneous Dirichlet
boundary conditions in a bounded smooth domain and time-dependent forcing that models …

In this paper we study the abstract semilinear parabolic problem of the form du/dt+ Au= ƒ (u),
as the limit of the corresponding fractional approximations du/dt+ A< sup> α u= ƒ (u), in a …

In this paper, we consider the porous medium equation and establish a relationship
between its Kompanets–Zel'dovich–Barenblatt solution u (xd, t), xd∈ R d, t> 0 and random …

Our goal is to study fractional powers of a cascade system of partial differential equations.
We explicitly calculate the fractional powers of linear operators associated to this type of …

In this paper, we study the long-time behavior of a nonlinear coupled system of wave
equations with damping terms and subjected to small perturbations of autonomous external …

A kind of nonlocal reaction-diffusion equations on an unbounded domain containing a
fractional Laplacian operator is analyzed. To be precise, we prove the convergence of …