In this paper, we discuss the approximate controllability for mixed type non-autonomous
fractional differential equations. By using the Schauder fixed point theorem and two …

We study semilinear third‐order (in time) evolution equations with fractional Laplacian (− Δ)
σ\left (-Δ\right) &# x0005E; σ and power nonlinearity| u| p\left&# x0007C; u\right&# x0007C; …

In this paper we show the characterization of the fractional powers of a class of positive
operators by Chebyshev polynomials of the second kind. We consider the following higher …

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 …

Logarithmic counterpart for semilinear Schrödinger equations | Journal of Pseudo-Differential
Operators and Applications Skip to main content SpringerLink Account Menu Find a journal …

In this paper, we study results of well-posedness and regularity of higher order in time
abstract non-autonomous semilinear Cauchy problems associated with Newton's binomial …

Continuity of the Unbounded Attractors for a Fractional Perturbation of a Scalar Reaction-Diffusion
Equation | Journal of Dynamics and Differential Equations Skip to main content …

In this paper we explore the theory of fractional powers of positive operators, more precisely,
we use the Balakrishnan formula to obtain parabolic approximations of (damped) wave …

In this paper, we consider a class of abstract third-order linear evolution equations in time
which can be seen as a generalized fractional Moore-Gibson-Thompson (MGT) equation …

A Note on the Spectral Analysis of Some Fourth-Order Differential Equations with a Semigroup
Approach | Results in Mathematics Skip to main content SpringerLink Account Menu Find a …