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 …

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 …

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 work, we consider parabolic equations of the form (u ε) t+ A ε (t) u ε= F ε (t, u ε), where
ε is a parameter in [0, ε 0), and {A ε (t), t∈ R} is a family of uniformly sectorial operators. As …

arXiv:2305.02399v1 [math.AP] 3 May 2023 Page 1 arXiv:2305.02399v1 [math.AP] 3 May
2023 FRACTIONAL POWERS APPROACH OF MAXIMAL ACCRETIVE OPERATORS FOR …

In this paper, we provide several techniques to explicitly calculate fractional powers of 2× 2
2*2 operator matrices Λ= Λ 11 Λ 12 Λ 21 Λ 22,* 10pc Λ=\def & Λ _ 11 & Λ _ 12\Λ _ 21 & Λ …