On asymptotic behavior of fractional Cauchy transform
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DOI: 10.1007/s13324-019-00317-7
Abstract: We study non-regularity of growth of the fractional Cauchy transform $$\begin{aligned} f(z)=\int _{-\pi }^{\pi } \frac{d\psi (t)}{(1-ze^{-it})^\alpha }, \quad \alpha >0, \psi \in BV[-\pi ,\pi ], \end{aligned}$$f(z)=∫-ππdψ(t)(1-ze-it)α,α>0,ψ∈BV[-π,π],in terms of the modulus of continuity of the… read more here.
Keywords: asymptotic behavior; fractional cauchy; cauchy transform; behavior fractional ... See more keywords
Global well-posedness and long-time behavior of the fractional NLS
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DOI: 10.1007/s40072-021-00210-0
Abstract: In this paper, our discussion mainly focuses on equations with energy supercritical nonlinearities. We establish probabilistic global well-posedness (GWP) results for the cubic Schrödinger equation with any fractional power of the Laplacian in all dimensions.… read more here.
Keywords: behavior fractional; posedness long; global well; time behavior ... See more keywords
Asymptotic behavior of fractional stochastic heat equations in materials with memory
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DOI: 10.1080/00036811.2019.1597057
Abstract: This paper deals with the asymptotic behavior of solutions for a fractional stochastic integro-differential equation driven by additive noise with . We first apply the Galerkin method to prove the existence and uniqueness of solutions… read more here.
Keywords: asymptotic behavior; behavior fractional; heat equations; equations materials ... See more keywords
Behavior of fractional quantum Hall states in LLL and 1LL with in-plane magnetic field and Landau level mixing: A numerical investigation
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DOI: 10.1088/1674-1056/27/8/087306
Abstract: By exactly solving the effective two-body interaction for two-dimensional electron system with layer thickness and an in-plane magnetic field, we recently found that the effective interaction can be described by the generalized pseudopotentials (PPs) without… read more here.
Keywords: behavior fractional; field; plane magnetic; landau level ... See more keywords
Dynamic Behavior of a Fractional-Type Fuzzy Difference System
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DOI: 10.3390/sym14071337
Abstract: In this paper, our aim is to study the following fuzzy system: xn+1=Axn−1xn−2+Bxn−3D+Cxn−4, n=0,1,2,⋯, where {xn} is a sequence of positive fuzzy numbers and the initial conditions x−4,x−3,x−2,x−1,x0 and the parameters A,B,C,D are positive fuzzy numbers.… read more here.
Keywords: system; positive fuzzy; behavior fractional; dynamic behavior ... See more keywords